Artikel Fisika kelas 11 ini membahas tentang konsep momen inersia, serta contoh penerapannya di kehidupan sehari-hari.
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Coba perhatikan mainan di atas deh. Benda-benda yang akan diluncurkan pada lintasan yang sama itu punya bentuk yang berbeda-beda. Mulai dari kotak, bola pejal (padat), bola berongga, silinder pejal, maupun silinder berongga (cincin). Menurut kamu, jika kita asumsikan semua benda punya massa dan jari-jari yang sama, dan semuanya dilepaskan secara bersamaan dari atas, benda mana yang pertama kali sampai bawah?
Biar kayak judul-judul berita heboh, maka sekarang perlu tambahan kalimat: Bendanya tidak akan terduga dan kamu harus cari tahu di akhir artikel ini!
Cihuy gak?
Well, untuk mencari tahu jawabannya, kita perlu memahami konsep Momen Inersia. Ini tuh topik yang masih nyambung banget sama torsi dari tulisan Momen Gaya dan Misteri Gagang Pintu. Pastiin baca dulu ya sebelum lanjut ke sini.
Kalau Torsi/Momen Gaya merupakan suatu besaran yang diperlukan untuk membuat benda berotasi pada porosnya, Momen Inersia merupakan ukuran kelembaman suatu benda untuk berputar pada porosnya.
Masih ingat dengan konsep kelembaman? Newton pernah menjelaskan ini dalam Hukum Newton I. Dia berkata bahwa benda yang awalnya diam akan tetap diam, dan yang awalnya bergerak akan tetap bergerak dengan kelajuan konstan (tetap). Kecenderungan benda untuk “mempertahankan diri” ini disebut dengan inersia. Perhatikan gif di bawah deh:
Sumber: zonephysics via Twitter
Nah, itu adalah contoh paling sederhana dari inersia. Di mana daun yang sebelumnya diam, akan tetap “berusaha untuk diam”, sebelum akhirnya ikut bergerak ke bawah karena gaya gravitasi. Satu hal yang perlu kamu ingat dari sifat lembam adalah: benda yang memiliki inersia besar, cenderung susah diperlambat atau dipercepat.
Baca juga: Apakah Hantu Itu Benar-Benar Ada? Ini Pendapat Ilmuwan
Lalu, apa kaitannya Inersia dengan Momen Inersia? Kalau inersia adalah kelembaman untuk gerak translasi (pergerakan yang sifatnya lurus/linier), Momen Inersia merupakan kelembaman untuk gerak rotasi (pergerakan yang sifatnya muter dari poros).
Sekali lagi nih.
Inersia: gerak translasi.
Momen Inersia: gerak rotasi.
Oke. Sekarang kita kembali ke pertanyaan awal:
Kalau semua benda di ramp itu kita lepaskan, mana yang akan sampai bawah duluan?
Ya, yang paling cepat tiba adalah rasa rindu ketika dia tiba-tiba menghilang. Huhuhu.
Anyway, pertama-tama kita perlu tahu konsep Momen Inersia terhadap benda-benda begini. Secara fisika, benda-benda kayak gini dianggap terdiri dari partikel-partikel super kecil yang membentuknya. Berapa banyak partikelnya? O, jelas. Beribu juta tentunya dongs (lebay). Setiap partikel di benda ini punya momen inersianya masing-masing. Penghitungannya adalah dengan mengalikan massa partikel dengan kuadrat jari-jari partikel terhadap poros benda.
I = ∑ mnRn2
I = m1R12 + m2R22 + … + mnRn2
Alhasil, Momen Inersia si benda adalah penjumlahan seluruh momen inersia dari partikel benda tersebut. Berhubung tiap benda punya bentuk yang berbeda, maka muncullah konstanta bentuk untuk setiap benda. Sederhananya, perhatiin infografik di bawah:
Dari sini kita jadi tahu bahwa massa dan jarak berpengaruh terhadap momen inersia. Semakin jauh jarak massa benda terhadap poros, makin besar momen inersianya.
Hmmm. Seperti familiar ya kalimat di atas. Semakin jauh jaraknya, semakin besar pula kangennya. Betul, Saudara. Momen inersia adalah kita.
Sumber: Crash Course via Youtube
Kedua, tanamkan dalam kepala bahwa benda yang duluan sampai ke bawah berarti punya kecepatan (v) paling besar.
Itu artinya, kita perlu mengecek kondisi energi dari setiap benda. Secara matematis, kita tahu bahwa seluruh energi kinetik dari benda yang bergerak lurus merupakan energi kinetik translasi. Maka arti dari segala arti, kita bisa menuliskanya dengan:
EK = 1/2 mv2
Di sisi lain, benda-benda tersebut setelah kita lepaskan, akan turun dengan menggelinding. Artinya, sebagian energi kinetiknya akan digunakan untuk gerak rotasi. Waduh, terus gimana tuh cara ngitung Energi Kinetiknya?
Baca juga: Memahami Energi Kinetik dan Potensial Pada Fisika
Gampang. Coba liat perbandingan gerak translasi dan rotasi di gambar berikut:
Jadi, kita tinggal ganti aja massa dengan momen inersia dan kecepatan linier dengan kecepatan sudut sehingga energi kinetiknya menjadi:
EKrotasi = 1/2 Iω2
Nah, semua perhitungan matematis sudah kita kumpulin. Sekarang, kita bisa langsung ngebedah dengan gampang permasalahan benda mana yang turun paling cepat ini. First thing first, cari tahu semua jenis energi yang ada di benda ini. Kalo bahasa fisikanya mah, kita tinja….u.
Semua benda saat masih di atas ramp (belum dilepas), masih diam. Bendanya juga punya ketinggian kan? Itu artinya, energinya masuk ke dalam energi potensial. Penghitungannya berarti: massa benda x gravitasi x tinggi ramp
Ep = mgh
Sekarang, semua benda kita lepaskan.
Semua benda tentu lama-kelamaan akan berotasi.
Itu artinya, benda-benda ini mengalami dua jenis gerak: gerak translasi (saat si benda turun), dan gerak rotasi (benda berputar saat menggelinding).
Alhasil, ini akan mengubah energi potensialnya menjadi energi kinetik translasi (energi untuk membuat benda meluncur turun) plus energi kinetik rotasi (energi untuk membuat benda berotasi).
Jadi yang sampai paling bawah duluan adalah…
Bola pejal! HAHAHAHA… Ketebak nggak, tuh?
Masalahnya, kira-kira setelah bola pejal, siapa yang bakal menyusul di urutan kedua dan seterusnya? Wah, ini gampang banget. Pembuktian secara matematisnya gini: kita tinggal cek benda apa yang paling kecil mengubah energi potensialnya menjadi energi kinetik rotasi.
Caranya?
Ya, tinggal cek aja momen inersia (I) setiap benda.
Kita tinggal liat dari konstanta bentuk di rumus momen inersia di atas. Benda mana yang punya konstanta bentuk paling kecil, itu lah yang punya kecepatan (v) paling besar.
Jadi urutannya:
1. Bola pejal (I = 2/5 mR2)
2. Silinder pejal (I = 1/2 mR2)
3. Bola berongga (I = 2/3 mR2)
4. Silinder berongga (cincin) (I = 1 mR2)
Penjelasannya begini. Kita coba ambil dua contoh ya. Benda bola pejal dan cincin, deh. Bola pejal kan solid, jadi massa-nya tersebar dengan baik di pusat. Bandingkan dengan cincin. Massa-nya hanya tersebar di bagian tipis yang padat itu. Ini ngebuat persebaran massa-nya lebih jauh dari titik pusat. Dan, kayak yang udah kita bahas di atas, makin jauh jarak massa benda, makin besar juga momen inersianya.
Nah, karena energi yang dipakai untuk momen inersia (energi kinetik rotasi) besar, maka energi yang digunakan untuk energi kinetik translasi jadi kecil (kecepatannya jadi lambat).
Gimana, gimana? Paham gak? Sekarang udah tahu kan konsep dari momen inersia, hubungannya dengan inersia, dan torsi. Kalau kamu ingin coba memahami materi ini sekali lagi, cobain aja tonton video animasinya di ruangbelajar, lalu kerjain soal-soalnya untuk bisa mengerti dengan lebih optimal!
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<h1 class="content-title">
Cara Gampang Memahami Konsep Momen Inersia | Fisika Kelas 11 </h1>
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<p class="content-author"><a href="https://www.ruangguru.com/blog/author/kresnoadi" class="">Kresnoadi</a> </p>
<p class="content-info"><span>July 30, 2021 • </span> <span>6 minutes read</span></p>
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<p><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/momen%20inersia.jpg" alt="momen inersia" width="820" loading="lazy" style="width: 820px; margin-left: auto; margin-right: auto; display: block;"></p>
<blockquote>
<p style="font-size: 16px; text-align: center;"><em>Artikel Fisika kelas 11 ini membahas tentang konsep momen inersia, serta contoh penerapannya di kehidupan sehari-hari.</em></p>
</blockquote>
<p style="text-align: center;"><em>—</em><span id="more-4783"></span></p>
<p style="text-align: justify;">Coba perhatikan mainan di atas deh. Benda-benda yang akan diluncurkan pada lintasan yang sama itu punya bentuk yang berbeda-beda. Mulai dari kotak, bola pejal (padat), bola berongga, silinder pejal, maupun silinder berongga (cincin). Menurut kamu, jika kita asumsikan semua benda punya massa dan jari-jari yang sama, dan semuanya dilepaskan secara bersamaan dari atas, benda mana yang pertama kali sampai bawah?</p>
<p style="text-align: justify;"><span style="background-color: #ffff04;"><br />
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<p style="text-align: justify;">Biar kayak judul-judul berita heboh, maka sekarang perlu tambahan kalimat: Bendanya tidak akan terduga dan kamu harus cari tahu di akhir artikel ini!</p>
<p style="text-align: justify;">Cihuy gak?</p>
<p style="text-align: justify;"><em>Well</em>, untuk mencari tahu jawabannya, kita perlu memahami konsep Momen Inersia. Ini tuh topik yang masih nyambung banget sama torsi dari tulisan <strong><a href="https://blog.ruangguru.com/fisika-kelas-11-momen-gaya-dan-misteri-gagang-pintu">Momen Gaya dan</a><a href="https://blog.ruangguru.com/fisika-kelas-11-momen-gaya-dan-misteri-gagang-pintu"> </a><a href="https://blog.ruangguru.com/fisika-kelas-11-momen-gaya-dan-misteri-gagang-pintu">Misteri Gagang Pintu</a></strong><strong>. </strong>Pastiin baca dulu ya sebelum lanjut ke sini.</p>
<p style="text-align: justify;">Kalau Torsi/Momen Gaya merupakan suatu <strong>besaran</strong> <strong>yang diperlukan</strong> untuk membuat benda berotasi pada porosnya, Momen Inersia merupakan ukuran <strong>kelembaman suatu benda untuk berputar pada porosnya.</strong></p>
<p><span style="background-color: #ffff04;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/pengertian%20momen%20inersia%201.jpg" alt="pengertian momen inersia 1" width="600" loading="lazy" style="width: 600px; margin-left: auto; margin-right: auto; display: block;"></span></p>
<p> </p>
<p style="text-align: justify;">Masih ingat dengan konsep kelembaman? Newton pernah menjelaskan ini dalam <strong><a href="https://blog.ruangguru.com/hukum-newton">Hukum Newton I.</a></strong> Dia berkata bahwa <span style="font-weight: bold;">benda yang awalnya diam akan tetap diam, dan yang awalnya bergerak akan tetap bergerak dengan kelajuan konstan (tetap)</span><span style="font-weight: normal;">.</span> Kecenderungan benda untuk “mempertahankan diri” ini disebut dengan <strong>inersia.</strong> Perhatikan gif di bawah deh:</p>
<p style="text-align: center;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/contoh%20inersia%20di%20kehidupan%20sehari-hari.gif" alt="contoh inersia di kehidupan sehari-hari" width="480" style="width: 480px; display: block; margin-left: auto; margin-right: auto;"></p>
<p style="text-align: center;">Sumber: zonephysics via Twitter</p>
<p style="text-align: justify;"> </p>
<p style="text-align: justify;">Nah, itu adalah contoh paling sederhana dari inersia. Di mana daun yang sebelumnya diam, akan tetap “berusaha untuk diam”, sebelum akhirnya ikut bergerak ke bawah karena gaya gravitasi. Satu hal yang perlu kamu ingat dari sifat lembam adalah: benda yang memiliki <strong>inersia besar, cenderung susah diperlambat atau dipercepat.</strong></p>
<p><strong>Baca juga: <a href="https://blog.ruangguru.com/hantu">Apakah Hantu Itu Benar-Benar Ada? Ini Pendapat Ilmuwan</a></strong></p>
<p style="text-align: justify;"> </p>
<p style="text-align: justify;">Lalu, apa kaitannya Inersia dengan Momen Inersia? Kalau inersia adalah kelembaman untuk <strong>gerak translasi </strong>(pergerakan yang sifatnya lurus/linier), Momen Inersia merupakan <strong>kelembaman untuk gerak rotasi </strong>(pergerakan yang sifatnya muter dari poros).</p>
<p style="text-align: justify;">Sekali lagi nih.</p>
<p style="text-align: justify;">Inersia: gerak translasi.</p>
<p style="text-align: justify;">Momen Inersia: gerak rotasi.</p>
<p><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/momen%20inersia%201.jpg" alt="momen inersia 1" width="600" loading="lazy" style="width: 600px; margin-left: auto; margin-right: auto; display: block;"></p>
<p style="text-align: justify;">Oke. Sekarang kita kembali ke pertanyaan awal:</p>
<p style="text-align: justify;">Kalau semua benda di <em>ramp</em> itu kita lepaskan, mana yang akan sampai bawah duluan?</p>
<p style="text-align: justify;">Ya, yang paling cepat tiba adalah rasa rindu ketika dia tiba-tiba menghilang. Huhuhu.</p>
<p style="text-align: justify;"><em>Anyway</em>, pertama-tama kita perlu tahu <a href="/momen-inersia" rel="noopener" target="_blank"><strong>konsep Momen Inersia</strong></a> terhadap benda-benda begini. Secara fisika, benda-benda kayak gini dianggap terdiri dari partikel-partikel super kecil yang membentuknya. Berapa banyak partikelnya? O, jelas. Beribu juta tentunya dongs (lebay). Setiap partikel di benda ini punya momen inersianya masing-masing. Penghitungannya adalah dengan<strong> mengalikan massa partikel dengan kuadrat jari-jari partikel terhadap poros benda.</strong></p>
<p style="font-size: 24px; text-align: center;"><strong>I = ∑ m<sub>n</sub>R<sub>n</sub><sup>2</sup></strong></p>
<p style="font-size: 24px; text-align: center;"><strong>I = m<sub>1</sub>R<sub>1</sub><sup>2</sup> + m<sub>2</sub>R<sub>2</sub><sup>2</sup> + … + m<sub>n</sub>R<sub>n</sub><sup>2</sup></strong></p>
<p style="text-align: justify;">Alhasil, Momen Inersia si benda adalah <strong>penjumlahan seluruh momen inersia dari partikel benda tersebut.</strong> Berhubung tiap <span style="background-color: #ffff04;"><span style="background-color: #ffffff;">benda punya bentuk yang berbeda, </span></span>maka muncullah konstanta bentuk untuk setiap benda. Sederhananya, perhatiin infografik di bawah:</p>
<p style="font-size: 24px; text-align: center;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/rumus%20momen%20inersia.png" alt="Fisika Kelas 11 | Cara Gampang Memahami Konsep Momen Inersia" width="600" style="width: 600px; margin: 0px auto;"></p>
<p style="text-align: justify;"> </p>
<p style="text-align: justify;">Dari sini kita jadi tahu bahwa massa dan jarak berpengaruh terhadap momen inersia. <strong>Semakin jauh jarak massa benda terhadap poros, makin besar momen inersianya. </strong></p>
<p style="text-align: justify;">Hmmm. Seperti familiar ya kalimat di atas. Semakin jauh jaraknya, semakin besar pula kangennya. Betul, Saudara. Momen inersia adalah kita.</p>
<p style="text-align: center;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/pengaruh%20massa%20terhadap%20momen%20inersia.gif" alt="pengaruh massa terhadap momen inersia" width="480" style="width: 480px; display: block; margin: 0px auto;"></p>
<p style="text-align: center;">Sumber: Crash Course via Youtube</p>
<p style="text-align: justify;"> </p>
<p style="text-align: justify;">Kedua, tanamkan dalam kepala bahwa <strong>benda yang duluan sampai ke bawah berarti punya kecepatan (v) paling besar.</strong></p>
<p style="text-align: justify;">Itu artinya, kita perlu mengecek kondisi energi dari setiap benda. Secara matematis, kita tahu bahwa <strong>seluruh energi kinetik dari benda yang bergerak lurus</strong> <strong>merupakan energi kinetik translasi. </strong>Maka arti dari segala arti, kita bisa menuliskanya dengan:</p>
<p style="font-size: 24px; text-align: center;"><strong>EK<sub> </sub>= 1/2 mv<sup>2</sup></strong></p>
<p style="text-align: justify;">Di sisi lain, benda-benda tersebut setelah kita lepaskan, akan turun dengan menggelinding. Artinya, <strong>sebagian energi kinetiknya akan digunakan untuk gerak rotasi.</strong> Waduh, terus gimana tuh cara ngitung Energi Kinetiknya?</p>
<p style="text-align: justify;"><strong>Baca juga: <a href="/mengenal-energi-dalam-fisika" rel="noopener">Memahami Energi Kinetik dan Potensial Pada Fisika</a></strong></p>
<p style="text-align: justify;">Gampang. Coba liat perbandingan gerak translasi dan rotasi di gambar berikut:</p>
<p><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/gerak%20translasi%20dan%20rotasi-1.jpg" alt="gerak translasi dan rotasi-1" width="600" loading="lazy" style="width: 600px; margin-left: auto; margin-right: auto; display: block;"></p>
<p style="text-align: justify;">Jadi, kita tinggal ganti aja <strong>massa dengan momen inersia</strong> dan <strong>kecepatan linier dengan kecepatan sudut</strong> sehingga energi kinetiknya menjadi:</p>
<p style="font-size: 24px; text-align: center;"><strong>EK<sub>rotasi</sub> = 1/2 Iω<sup>2</sup></strong></p>
<p style="text-align: justify;">Nah, semua perhitungan matematis sudah kita kumpulin. Sekarang, kita bisa langsung ngebedah dengan gampang permasalahan benda mana yang turun paling cepat ini. <em>First thing first</em>, cari tahu semua jenis energi yang ada di benda ini. Kalo bahasa fisikanya mah, kita tinja….u.</p>
<p style="text-align: justify;">Semua benda saat masih di atas <em>ramp</em> (belum dilepas), masih diam. Bendanya juga punya ketinggian kan? Itu artinya, energinya masuk ke dalam <strong>energi potensial.</strong> Penghitungannya berarti: massa benda x gravitasi x tinggi <em>ramp</em></p>
<p style="text-align: center; font-size: 24px;"><strong>Ep = mgh</strong></p>
<p style="text-align: justify;">Sekarang, semua benda kita lepaskan.</p>
<p style="text-align: justify;">Semua benda tentu lama-kelamaan akan berotasi.</p>
<p style="text-align: justify;">Itu artinya, benda-benda ini mengalami dua jenis gerak: gerak translasi (saat si benda turun), dan gerak rotasi (benda berputar saat menggelinding).</p>
<p style="text-align: justify;">Alhasil, ini akan mengubah <strong>energi potensialnya menjadi energi kinetik translasi </strong>(energi untuk membuat benda meluncur turun)<strong> plus energi kinetik rotasi </strong>(energi untuk membuat benda berotasi). </p>
<p><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/rumus%20benda%20berotasi.jpg" alt="rumus benda berotasi" width="600" loading="lazy" style="width: 600px; margin-left: auto; margin-right: auto; display: block;"></p>
<p style="text-align: justify;">Jadi yang sampai paling bawah duluan adalah…</p>
<p style="text-align: justify;">Bola pejal! HAHAHAHA… Ketebak nggak, tuh?</p>
<p style="text-align: justify;">Masalahnya, kira-kira setelah bola pejal, siapa yang bakal menyusul di urutan kedua dan seterusnya? Wah, ini gampang banget. Pembuktian secara matematisnya gini: <strong>kita tinggal cek benda apa yang paling kecil mengubah energi potensialnya menjadi energi kinetik rotasi.</strong></p>
<p style="text-align: justify;">Caranya?</p>
<p style="text-align: justify;">Ya, tinggal cek aja momen inersia (I) setiap benda.</p>
<p style="text-align: justify;">Kita tinggal liat dari konstanta bentuk di rumus momen inersia di atas. Benda mana yang punya konstanta bentuk paling kecil, itu lah yang punya kecepatan (v) paling besar.</p>
<p style="text-align: justify;">Jadi urutannya:</p>
<p style="text-align: justify;">1. Bola pejal (I = 2/5 mR<sup>2</sup>)</p>
<p style="text-align: justify;">2. Silinder pejal (I = 1/2 mR<sup>2</sup>)</p>
<p style="text-align: justify;">3. Bola berongga (I = 2/3 mR<sup>2</sup>)</p>
<p style="text-align: justify;">4. Silinder berongga (cincin) (I = 1 mR<sup>2</sup>)</p>
<p><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/momen%20inersia%202-1.jpg" alt="momen inersia 2-1" width="600" loading="lazy" style="width: 600px; margin-left: auto; margin-right: auto; display: block;"></p>
<p style="text-align: justify;">Penjelasannya begini. Kita coba ambil dua contoh ya. Benda bola pejal dan cincin, deh. Bola pejal kan solid, jadi massa-nya tersebar dengan baik di pusat. Bandingkan dengan cincin. Massa-nya hanya tersebar di bagian tipis yang padat itu. Ini ngebuat persebaran massa-nya lebih jauh dari titik pusat. Dan, kayak yang udah kita bahas di atas, makin jauh jarak massa benda, makin besar juga momen inersianya.</p>
<p style="text-align: justify;">Nah, karena energi yang dipakai untuk momen inersia (energi kinetik rotasi) besar, maka energi yang digunakan untuk energi kinetik translasi jadi kecil (kecepatannya jadi lambat).</p>
<p style="text-align: justify;">Gimana, gimana? Paham gak? Sekarang udah tahu kan konsep dari momen inersia, hubungannya dengan inersia, dan torsi. Kalau kamu ingin coba memahami materi ini sekali lagi, cobain aja tonton video animasinya di <a href="https://ruangguru.onelink.me/blPk/eaff0eb9"><strong>ruangbelajar,</strong></a> lalu kerjain soal-soalnya untuk bisa mengerti dengan lebih optimal!</p>
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<div class="d-lg-none text-center">
<nav class="footer-menu social">
<p class="title">Ikuti Kami</p>
<a target="_blank" href="https://www.instagram.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/instagram.png" loading="lazy" alt="Logo Instagram Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.facebook.com/ruanggurucom/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/facebook.png" loading="lazy" alt="Logo Facebook Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://twitter.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/twitter.png" loading=" lazy" alt="Logo Twitter Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.youtube.com/ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/youtube.png" loading=" lazy" alt="Logo Youtube Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.linkedin.com/company/ruangguru-com">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/linkedin.png" loading=" lazy" alt="Logo LinkedIn Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.tiktok.com/@ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/tiktok.png" loading=" lazy" alt="Logo TikTok Footer" width="32px" height="32px" />
</picture>
</a>
</nav>
</div>
<p class="footer-copyright">
© 2026 All Rights Reserved PT. Ruang Raya Indonesia
</p>
</div>
<style>
.bantuan-container {
position: relative;
}
.bantuan-element {
position: fixed;
z-index: 999;
display: flex;
align-items: flex-end;
justify-content: flex-end;
cursor: pointer;
transition: all 0.6s ease;
}
.bantuan-top {
bottom: 11rem;
right: 2rem;
}
.bantuan-bottom {
bottom: 2rem;
right: 2rem;
}
.bantuan-top-2 {
bottom: 15rem;
right: 2rem;
}
.bantuan-top-3 {
bottom: 19rem;
right: 2rem;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 2rem;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 2rem;
}
@media (min-width: 768px) {
.bantuan-element img {
width: auto;
transition: all 0.4s ease;
}
.bantuan-top img {
width: 140px;
}
.bantuan-bottom img {
width: 140px;
}
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 140px;
}
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 140px;
}
.bantuan-element.clicked {
bottom: 9rem;
right: 2.5rem;
}
.bantuan-element.clicked img {
width: auto;
height: 64px;
}
}
@media (max-width: 767px) {
.bantuan-top {
bottom: 8rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom {
bottom: 2rem;
right: 1.25rem;
align-items: center;
}
.bantuan-top-2 {
bottom: 12rem;
right: 1rem;
align-items: center;
}
.bantuan-top-3 {
bottom: 16rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 1.25rem;
align-items: center;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 1.25rem;
align-items: center;
}
.bantuan-element img {
width: auto;
}
.bantuan-top img,
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 96px;
}
.bantuan-bottom img,
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 96px;
}
}
.bantuan-element:hover {
transform: scale(1.05);
}
.bantuan-element img {
max-width: 100%;
height: auto;
}
</style>
<div id="bantuan-divs-container" style="position: relative" data-product="ruangguru" data-table="rg_floating_icon"></div>
<script>
class FloatingDivsComponent {
constructor(product = 'ruangguru', table = 'rg_floating_icon') {
this.container = document.getElementById('bantuan-divs-container');
this.floatingElements = [];
this.product = product;
this.table = table;
// Configuration
this.config = {
baseApiUrl: 'https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/rg_banner/views/',
apiKey: 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
maxElements: 2,
zIndexBase: 100,
};
// Build dynamic API URL based on table parameter
this.config.apiUrl = this.buildApiUrl();
this.init();
}
buildApiUrl() {
const baseUrl = this.config.baseApiUrl;
const tableName = this.table || 'rg_floating_icon';
const queryParams =
'offset=0&limit=99999&sort=rankPosition&where=(type,eq,floating)~and(showIn,anyof,blog)~and(hide,is,false)~and(product,eq,' +
this.product +
')&nested%5Bcta%5D%5Bfields%5D=Id,name,ctaId,imageUrl,ctaLink,targetUrl';
return `${baseUrl}${tableName}?${queryParams}`;
}
async init() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to initialize floating divs component:', error);
}
}
async fetchFloatingElements() {
try {
const options = {
method: 'GET',
headers: {
'xc-token': this.config.apiKey || 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
},
};
const urlNoco = this.config.apiUrl;
const response = await fetch(urlNoco, options);
if (!response.ok) {
throw new Error(`HTTP error! status: ${response.status}`);
}
const data = await response.json();
this.floatingElements = this.processApiResponse(data);
} catch (error) {
console.error('Error fetching floating elements:', error);
throw error;
}
}
processApiResponse(data) {
if (!data || !data.list || !Array.isArray(data.list)) {
return [];
}
console.log(data.list);
// Ensure we only get maximum 2 elements
const limitedElements = data.list.slice(0, this.config.maxElements);
return limitedElements;
}
renderFloatingElements() {
if (!this.container || this.floatingElements.length === 0) {
return;
}
// Additional safeguard: ensure we never render more than maxElements
const elementsToRender = this.floatingElements.slice(0, this.config.maxElements);
// Clean up existing elements and their event listeners
this.cleanupExistingElements();
// Clear existing content
this.container.innerHTML = '';
elementsToRender.forEach((element, index) => {
const floatingDiv = this.createFloatingDiv(element, index);
this.container.appendChild(floatingDiv);
});
}
cleanupExistingElements() {
// Clear existing elements (no need for event listener cleanup with CSS approach)
const existingElements = this.container.querySelectorAll('[data-floating-element]');
existingElements.forEach(element => {
element.remove();
});
}
createFloatingDiv(element, index) {
const div = document.createElement('div');
const cta = element.cta[0]; // Use the first CTA
// Add data attribute for cleanup tracking
div.setAttribute('data-floating-element', 'true');
// Apply CSS classes based on rankPosition
const positionClass = this.getPositionClass(element.rankPosition, index);
div.className = `bantuan-element ${positionClass}`;
div.style.zIndex = this.config.zIndexBase + index;
// Create the link and image
const link = document.createElement('a');
link.href = 'https://cta.ruangguru.com/' + cta.ctaId || '#';
link.target = '_blank';
// Add tracking attributes
link.setAttribute('data-tracking-event-type', 'landing_page__core__item_click');
link.setAttribute(
'data-tracking-context',
JSON.stringify({
product_name: this.product,
cta_action: 'redirection',
cta_action_detail: link.href,
item_type: 'floating',
item_name: element.name || 'Floating element',
item_category: 'payment',
item_position: index,
item_serial: null,
section_type: 'floating_item',
section_position: 'body',
section_name: 'floating_item',
})
);
const img = document.createElement('img');
img.src = element.imageUrl + '?h=200&convert=webp';
img.alt = element.name || 'Floating element';
img.loading = 'lazy';
// Add click tracking
link.addEventListener('click', () => {
this.trackClick(element, cta);
});
link.appendChild(img);
div.appendChild(link);
return div;
}
getPositionClass(rankPosition, index) {
// Define positioning classes based on rankPosition
if (rankPosition === 1) {
return 'bantuan-top'; // Top position
} else if (rankPosition === 2) {
return 'bantuan-bottom'; // Bottom position
} else {
// For additional elements, distribute them evenly
return `bantuan-${index % 2 === 0 ? 'top' : 'bottom'}-${Math.floor(index / 2) + 1}`;
}
}
trackClick(element, cta) {
// Implement click tracking logic here
console.log('Floating element clicked:', {
elementId: element.Id,
elementName: cta.name,
ctaId: cta.ctaId,
targetUrl: cta.targetUrl,
});
}
// Public method to manually refresh
async refresh() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to refresh floating elements:', error);
throw error;
}
}
// Public method to get current floating elements
getFloatingElements() {
return [...this.floatingElements];
}
}
// Initialize the component when DOM is ready
document.addEventListener('DOMContentLoaded', () => {
// Get product and table parameters from data attributes
const container = document.getElementById('bantuan-divs-container');
const product = container.getAttribute('data-product') || 'ruangguru';
const table = container.getAttribute('data-table') || 'rg_floating_icon';
new FloatingDivsComponent(product, table);
});
// Export for use in other modules if needed
if (typeof module !== 'undefined' && module.exports) {
module.exports = FloatingDivsComponent;
}
</script> <div id="wp-install-nudge" style="
position: fixed;
bottom: 0rem;
right: 0;
z-index: 999;
cursor: pointer;
"></div>
<script>
(function (w, d, s, o, f, js, fjs) {
w['Sales-Nudge-Widget'] = o; w[o] = w[o] || function () { (w[o].q = w[o].q || []).push(arguments) };
js = d.createElement(s), fjs = d.getElementsByTagName(s)[0];
js.id = o; js.src = f; js.async = 1; fjs.parentNode.insertBefore(js, fjs);
}(window, document, 'script', 'wpInstallNudge', 'https://cdn-web-2.ruangguru.com/sales-nudge/6198a95130/dist/widget.js'));
wpInstallNudge('init', { targetElementId: 'wp-install-nudge', clientTarget: 'ruangguru_blog' });
</script>
<script>
// note: disabled due to auto reload page
// var lastScrollTop = 0;
// $(window).scroll(function(event){
// var st = $(this).scrollTop();
// if (st > lastScrollTop){
// $('#wp-install-nudge').slideDown( "slow", function() {});
// } else {
// $('#wp-install-nudge').slideUp( "slow", function() {});
// }
// lastScrollTop = st;
// });
// $(document).ready(function () {
// $("#wp-install-nudge").hide();
// });
$('#wp-install-nudge').click(function(){
Analytics.track("promotion__install_nudge__click",
{
user_email: "ruangguru@blog.com",
cta_link: widgetData.dataConfig.target_link
}).catch((err) => {
console.log("tracker error", err);
});
});
</script>
</footer>
<div id="__next"></div>
<script type="speculationrules">
{"prefetch":[{"source":"document","where":{"and":[{"href_matches":"\/blog\/*"},{"not":{"href_matches":["\/blog\/wp-*.php","\/blog\/wp-admin\/*","\/blog\/wp-content\/uploads\/*","\/blog\/wp-content\/*","\/blog\/wp-content\/plugins\/*","\/blog\/wp-content\/themes\/ruangguru\/*","\/blog\/*\\?(.+)"]}},{"not":{"selector_matches":"a[rel~=\"nofollow\"]"}},{"not":{"selector_matches":".no-prefetch, .no-prefetch a"}}]},"eagerness":"conservative"}]}
</script>
<script>
async function getCtaDetails(ctaIds) {
const endpoint =
" https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/CTA/views/CTA?offset=0&limit=10&where=(ctaId,in," + ctaIds.toString() + ")";
try {
const response = await fetch(endpoint, {
headers: {
"xc-token": "-hG2nBDJzSj0agSgNtcJx97M4F02y54nUMoY6plJ",
},
});
const data = await response.json();
const ctaList = data?.list || [];
const ctaMap = new Map();
for (const ctaData of ctaList) {
ctaMap.set(ctaData.ctaId, ctaData);
}
return ctaMap;
} catch (error) {
console.error("Error fetching CTA details:", error);
return new Map();
}
}
async function replaceCTA() {
const regex = /{{cta\((‘(.*?)’|“(.*?)”)\)}}/g;
const bodyHTML = document.body.innerHTML;
const matches = Array.from(bodyHTML.matchAll(regex));
const ctaIds = matches.map((match) => {
let ctaId = match[2] ?? match[3];
return ctaId;
});
const ctaMap = await getCtaDetails(ctaIds);
const replacedHTML = bodyHTML.replace(regex, (match, _inner, ctaId1, ctaId2) => {
const ctaId = ctaId1 ?? ctaId2;
const ctaData = ctaMap.get(ctaId);
if (ctaData) {
return `<a href="https://cta.ruangguru.com/${ctaData.ctaId}" target="_${ctaData.targetType}" style="position:relative;display:inline-block;">
<img src="${ctaData.imageUrl}" loading="lazy" alt="${ctaData.altText}" />
</a>`;
} else {
return match;
}
});
document.body.innerHTML = replacedHTML;
}
</script>
<meta name="author" content="Ruangguru Tech Team">
<!-- Google Tag Manager (noscript) -->
<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-PVNLZFT" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
<!-- Tracker -->
<script type="text/javascript" src="https://cdn-web-2.ruangguru.com/landing-page-web/public/staticpages/global-assets/js/cta.js"></script>
<script src="https://unpkg.com/@dotlottie/player-component@latest/dist/dotlottie-player.mjs" type="module"></script>
</body>
</html>