[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"public-settings":3,"question:cmw0ekos7003607sc6b07ytsr":12,"public-catalog":70,"public-languages":1937},{"features.tutoring.enabled":4,"features.tools.enabled":5,"tools.disabled":6,"sections.subjects.enabled":5,"sections.pricing.enabled":5,"sections.teachers.enabled":5,"sections.testimonials.enabled":4,"sections.faqs.enabled":5,"bankSoal.enabled":5,"site.maintenance":4,"whatsapp.number":7,"brand.name":8,"brand.tagline":9,"contact.email":10,"contact.address":11},false,true,[],"6285156084435","MyFismat","Platform belajar Matematika, Fisika, dan Pemrograman untuk SD, SMP, SMA, dan Kuliah","support@myfismat.com","Indonesia",{"id":13,"type":14,"stem":15,"choices":16,"points":17,"difficulty":18,"gradable":4,"presentation":19,"explanationVideo":20,"title":21,"description":22,"subject":23,"level":29,"topics":33,"author":34,"sets":38,"related":39,"createdAt":68,"updatedAt":69},"cmw0ekos7003607sc6b07ytsr","READ_ONLY","**ONMIPA-PT 2025 Mekanika Klasik: Bola di Atas Setengah Bola**\n\nSoal ONMIPA-PT 2025 tingkat nasional, bidang Mekanika Klasik.\n\n---\n\n### Soal 2 - [30 poin]\n\n![](https:\u002F\u002Fmyfismat.com\u002Fuploads\u002Fcee65656-cafa-46fc-8380-72f2174130dd.png)\n\nPada gambar di samping ini, benda bermassa $m_1$ berbentuk setengah bola pejal homogen berjari-jari $r_1$ berada pada suatu lantai licin. Di puncak setengah bola terdapat bola kecil pejal homogen bermassa $m_2$ berjari-jari $r_2 (\u003C r_1)$. Momen inersia bola $m_2$ terhadap pusatnya adalah $\\frac{2}{5}m_2r_2^2$. Mula-mula $m_2$ diberikan dorongan sangat kecil dan dilepaskan dari keadaan diam, kemudian mulai bergerak menuruni permukaan $m_1$. Sudut $\\theta$ adalah sudut antara garis yang menghubungkan kedua pusat dengan garis vertikal (lihat Gambar). Koefisien gesek antara permukaan $m_2$ dengan permukaan $m_1$ adalah $\\mu$. Percepatan gravitasi ke bawah sama dengan $g$.\n\na. **(15 poin)** Mula-mula $m_2$ bergerak menyusuri permukaan $m_1$ secara menggelinding murni selama waktu tertentu. Tentukan besar kecepatan $m_1$ terhadap lantai sebagai fungsi $\\theta$ dinyatakan dalam $\\theta$ dan konstan-konstanta lainnya. Tentukan pula besar kecepatan $m_2$ terhadap lantai sebagai fungsi $\\theta$. Dari besar kecepatan $m_1$ terhadap lantai tersebut, tentukan percepatan $m_1$ terhadap lantai sebagai fungsi $\\theta$.\n\nb. **(10 poin)** Ketika $m_2$ terus bergerak menggelinding murni di permukaan $m_1$ dan sudut $\\theta$ ($0 \\leq \\theta \u003C \\theta_s$) terus membesar, maka saat sudut $\\theta$ mencapai nilai $\\theta_s$ bola $m_2$ mulai selip (tergelincir) terhadap $m_1$. Saat keadaan ini terjadi, asumsikan bahwa gaya gesekan statik maksimum antara $m_2$ dan $m_1$ sama dengan gaya gesekan kinetik. Tentukan bentuk fungsi $F(\\theta_s) = 0$ yang mengandung besaran $\\theta_s$ maupun konstanta-konstanta lainnya yang memenuhi keadaan saat $m_2$ mulai selip terhadap $m_1$.\n\nc. **(3 poin)** Kemudian, ketika $m_2$ mencapai sudut $\\theta_l$, maka $m_2$ sepenuhnya lepas dari permukaan $m_1$. Tentukan kecepatan pusat massa $m_2$ relatif terhadap $m_1$ saat keadaan tersebut terjadi.\n\nd. **(2 poin)** Ditinjau kasus khusus dari jawaban pertanyaan (a). Jika massa $m_1$ mendekati tak hingga, dari hasil yang telah diperoleh pada (a), tentukan jawaban untuk pertanyaan-pertanyaan pada (a).",[],1,"HARD","QUESTION_ONLY",null,"**ONMIPA-PT 2025 Mekanika Klasik: Bola di Atas Setengah Bola**","ONMIPA-PT 2025 Mekanika Klasik: Bola di Atas Setengah Bola Soal ONMIPA-PT 2025 tingkat nasional, bidang Mekanika Klasik. Soal 2 - [30 poin] Pada gambar di…",{"id":24,"slug":25,"name":26,"color":27,"icon":28},"cmuzbyhdq000571r9nsdk6scx","fisika","Fisika","#0EA5E9","atom",{"id":30,"slug":31,"name":32},"cmuzbyhdb000371r9qk125qjd","kuliah","Kuliah",[],{"name":35,"slug":36,"photoUrl":20,"profession":37},"Hilman Fauzan, S.Si.","hilman-fauzan","Researcher",[],[40,47,54,61],{"id":41,"title":42,"excerpt":43,"difficulty":18,"hasExplanation":4,"hasFigure":4,"subject":44,"level":45,"updatedAt":46},"cmw0do0x1003407sc735rdvk2","**ONMIPA-PT 2025 Elektrodinamika: Bola Konduktor Berongga**","Soal ONMIPA-PT 2025 tingkat nasional, bidang Elektrodinamika. Soal 2 - [30 poin] Bayangkan kita berada di bidang fisika energi tinggi, di mana kita perlu menyimpan sejumlah energi listrik dalam…",{"id":24,"slug":25,"name":26,"color":27,"icon":28},{"id":30,"slug":31,"name":32},"2026-11-03T14:14:40.653Z",{"id":48,"title":49,"excerpt":50,"difficulty":18,"hasExplanation":4,"hasFigure":4,"subject":51,"level":52,"updatedAt":53},"cmw0dcjmb003207scbwpqxpkz","**ONMIPA-PT 2025 Elektrodinamika: Kawat Nano Dielektrik**","Soal ONMIPA-PT 2025 tingkat nasional, bidang Elektrodinamika. Soal 1 - [20 poin] Kawat nano (_nanowire_) merupakan salah satu elemen dasar (_building block_) dalam teknologi nano yang berperan penting…",{"id":24,"slug":25,"name":26,"color":27,"icon":28},{"id":30,"slug":31,"name":32},"2026-11-03T14:14:34.212Z",{"id":55,"title":56,"excerpt":57,"difficulty":18,"hasExplanation":4,"hasFigure":4,"subject":58,"level":59,"updatedAt":60},"cmw0d1fiq003107sctl1lcsfy","**ONMIPA-PT 2025 Mekanika Kuantum: Teori Gangguan Bebas Waktu**","Soal ONMIPA-PT 2025 tingkat nasional, bidang Fisika Modern & Mekanika Kuantum. Soal 2 - Teori Gangguan Bebas Waktu (Time-Independent Perturbation Theory) [30 poin] Sebuah partikel non-relativistik…",{"id":24,"slug":25,"name":26,"color":27,"icon":28},{"id":30,"slug":31,"name":32},"2026-11-03T14:13:56.260Z",{"id":62,"title":63,"excerpt":64,"difficulty":18,"hasExplanation":4,"hasFigure":4,"subject":65,"level":66,"updatedAt":67},"cmw0cvivl003007sc6m9ba9b8","**ONMIPA-PT 2025 Mekanika Kuantum: Osilator Harmonik Isotropik**","Soal ONMIPA-PT 2025 tingkat nasional, bidang Fisika Modern & Mekanika Kuantum. 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soal.","2026-10-14T16:01:45.223Z",{"id":1749,"subjectId":24,"levelId":107,"parentId":20,"slug":1750,"name":1751,"description":1752,"order":1722,"createdAt":1753,"updatedAt":1753},"demo-v2-topic-fisika-sma-1","hukum-newton-2","Hukum Newton 2","Hukum Newton 2: bunyi, rumus ΣF = m·a, diagram gaya, gaya gesek statis dan kinetis, serta contoh soal mencari percepatan dan massa beserta pembahasan.","2026-10-14T16:01:45.084Z",{"id":1755,"subjectId":85,"levelId":30,"parentId":20,"slug":1756,"name":1757,"description":1758,"order":1722,"createdAt":1759,"updatedAt":1759},"demo-v2-topic-pemrograman-kuliah-1","notasi-big-o-kompleksitas-waktu","Notasi Big O","Pahami notasi Big O dan kompleksitas waktu algoritma: O(1), O(log n), O(n), O(n²), cara menghitungnya dari kode Python, dan contoh soalnya.","2026-10-14T16:01:45.769Z",{"id":1761,"subjectId":85,"levelId":95,"parentId":20,"slug":1762,"name":1763,"description":1764,"order":1722,"createdAt":1765,"updatedAt":1765},"demo-v2-topic-pemrograman-sd-1","pengertian-algoritma","Pengertian Algoritma","Algoritma adalah langkah-langkah urut untuk menyelesaikan masalah. Pelajari pengertian, ciri, dan contoh algoritma sehari-hari untuk siswa SD.","2026-10-14T16:01:45.355Z",{"id":1767,"subjectId":24,"levelId":95,"parentId":20,"slug":1768,"name":1769,"description":1770,"order":1722,"createdAt":1771,"updatedAt":1771},"demo-v2-topic-fisika-sd-1","pengukuran-panjang","Pengukuran Panjang","Belajar pengukuran panjang untuk SD: satuan baku, alat ukur panjang, cara memakai penggaris, dan tangga satuan panjang km sampai mm + contoh soal.","2026-10-14T16:01:44.803Z",{"id":1773,"subjectId":73,"levelId":95,"parentId":20,"slug":1774,"name":1775,"description":1776,"order":1722,"createdAt":1777,"updatedAt":1777},"demo-v2-topic-matematika-sd-1","penjumlahan-pecahan","Penjumlahan Pecahan","Cara penjumlahan pecahan berpenyebut sama dan beda penyebut memakai KPK, pecahan senilai, dan pecahan campuran, lengkap dengan contoh soal SD.","2026-10-14T16:01:44.034Z",{"id":1779,"subjectId":73,"levelId":101,"parentId":20,"slug":1780,"name":1781,"description":1782,"order":1722,"createdAt":1783,"updatedAt":1783},"demo-v2-topic-matematika-smp-1","teorema-pythagoras","Teorema Pythagoras","Teorema Pythagoras a² + b² = c² untuk mencari sisi miring dan sisi siku-siku, tripel Pythagoras, diagonal ruang balok, dan contoh soal kelas 8.","2026-10-14T16:01:44.305Z",{"id":1785,"subjectId":85,"levelId":101,"parentId":20,"slug":1786,"name":1787,"description":1788,"order":1722,"createdAt":1789,"updatedAt":1789},"demo-v2-topic-pemrograman-smp-1","variabel-dan-tipe-data-python","Variabel dan Tipe Data Python","Belajar variabel dan tipe data Python dari nol: int, float, string, boolean, operator, print, dan input, lengkap dengan contoh program dan latihan.","2026-10-14T16:01:45.472Z",{"id":1791,"subjectId":85,"levelId":30,"parentId":20,"slug":1792,"name":1793,"description":1794,"order":1795,"createdAt":1796,"updatedAt":1796},"demo-v2-topic-pemrograman-kuliah-2","class-dan-object-python","Class dan Object Python","Pelajari class dan object Python untuk OOP: __init__, self, atribut, method, inheritance, dan invarian objek lewat contoh program dompet digital.",101,"2026-10-14T16:01:45.800Z",{"id":1798,"subjectId":73,"levelId":107,"parentId":20,"slug":1799,"name":1800,"description":1801,"order":1795,"createdAt":1802,"updatedAt":1802},"demo-v2-topic-matematika-sma-2","eksponen-dan-logaritma","Eksponen dan Logaritma","Materi eksponen dan logaritma kelas 10: sifat-sifat eksponen, definisi dan sifat logaritma, persamaan eksponen dan logaritma, serta contoh soal.","2026-10-14T16:01:44.555Z",{"id":1804,"subjectId":24,"levelId":95,"parentId":20,"slug":1805,"name":1806,"description":1807,"order":1795,"createdAt":1808,"updatedAt":1808},"demo-v2-topic-fisika-sd-2","macam-macam-gaya","Gaya dan Macam-Macamnya","Gaya adalah tarikan atau dorongan. Pelajari macam-macam gaya (otot, gravitasi, magnet, gesek, pegas), pengaruhnya pada benda, dan contoh soalnya.","2026-10-14T16:01:44.840Z",{"id":1810,"subjectId":73,"levelId":95,"parentId":20,"slug":1811,"name":1812,"description":1813,"order":1795,"createdAt":1814,"updatedAt":1814},"demo-v2-topic-matematika-sd-2","rumus-keliling-dan-luas-bangun-datar","Keliling dan Luas Bangun Datar","Rumus keliling dan luas bangun datar: persegi, persegi panjang, segitiga, jajargenjang, trapesium, dan lingkaran, dengan cara mudah dan contoh soal.","2026-10-14T16:01:44.140Z",{"id":1816,"subjectId":85,"levelId":107,"parentId":20,"slug":1817,"name":1818,"description":1819,"order":1795,"createdAt":1820,"updatedAt":1820},"demo-v2-topic-pemrograman-sma-2","list-dan-dictionary-python","List dan Dictionary Python","Pahami list dan dictionary Python: indeks, append, key-value, get, dan perulangan, plus perbedaan keduanya lewat contoh pengolahan data nilai siswa.","2026-10-14T16:01:45.659Z",{"id":1822,"subjectId":24,"levelId":101,"parentId":20,"slug":1823,"name":1824,"description":1825,"order":1795,"createdAt":1826,"updatedAt":1826},"demo-v2-topic-fisika-smp-2","rumus-massa-jenis","Massa Jenis","Rumus massa jenis ρ = m\u002FV lengkap dengan satuan kg\u002Fm³ dan g\u002Fcm³, tabel massa jenis air, besi, dan minyak, cara menghitung, serta contoh soal pembahasan.","2026-10-14T16:01:44.967Z",{"id":1828,"subjectId":85,"levelId":101,"parentId":20,"slug":1829,"name":1830,"description":1831,"order":1795,"createdAt":1832,"updatedAt":1832},"demo-v2-topic-pemrograman-smp-2","percabangan-python-if-else","Percabangan Python","Pelajari percabangan Python dengan if, elif, dan else: operator perbandingan, operator logika, dan contoh program nilai rapor lengkap dengan outputnya.","2026-10-14T16:01:45.518Z",{"id":1834,"subjectId":85,"levelId":95,"parentId":20,"slug":1835,"name":1836,"description":1837,"order":1795,"createdAt":1838,"updatedAt":1838},"demo-v2-topic-pemrograman-sd-2","percabangan-dalam-algoritma","Percabangan dalam Algoritma","Percabangan dalam algoritma memilih tindakan berdasarkan syarat jika-maka. Pelajari pengertian, contoh sehari-hari, dan simbol flowchart-nya.","2026-10-14T16:01:45.408Z",{"id":1840,"subjectId":73,"levelId":101,"parentId":20,"slug":1841,"name":1842,"description":1843,"order":1795,"createdAt":1844,"updatedAt":1844},"demo-v2-topic-matematika-smp-2","persamaan-garis-lurus","Persamaan Garis Lurus","Persamaan garis lurus y = mx + c, rumus gradien dari dua titik, garis sejajar dan tegak lurus, cara menggambar grafik, serta contoh soal kelas 8.","2026-10-14T16:01:44.363Z",{"id":1846,"subjectId":24,"levelId":30,"parentId":20,"slug":1847,"name":1848,"description":1849,"order":1795,"createdAt":1850,"updatedAt":1850},"demo-v2-topic-fisika-kuliah-2","usaha-oleh-gaya-berubah","Usaha Gaya Berubah","Usaha oleh gaya berubah dengan integral W = ∫F dx, rumus usaha W = F·s sebagai dot product, usaha pegas, dan teorema usaha–energi, plus contoh soal.","2026-10-14T16:01:45.258Z",{"id":1852,"subjectId":73,"levelId":107,"parentId":20,"slug":1853,"name":1854,"description":1855,"order":1856,"createdAt":1857,"updatedAt":1857},"demo-v2-topic-matematika-sma-3","rumus-peluang","Peluang Kejadian","Rumus peluang P(A) = n(A)\u002Fn(S), ruang sampel, peluang komplemen, frekuensi harapan, kejadian saling lepas dan saling bebas, plus contoh soal dadu dan koin.",102,"2026-10-14T16:01:44.588Z",{"id":1859,"subjectId":85,"levelId":107,"parentId":20,"slug":1860,"name":1861,"description":1862,"order":1856,"createdAt":1863,"updatedAt":1863},"demo-v2-topic-pemrograman-sma-3","pencarian-linear-dan-biner","Pencarian Linear dan Biner","Pelajari pencarian linear dan pencarian biner (binary search): cara kerja, syarat data terurut, kode Python, dan perbandingan jumlah langkahnya.","2026-10-14T16:01:45.700Z",{"id":1865,"subjectId":85,"levelId":101,"parentId":20,"slug":1866,"name":1867,"description":1868,"order":1856,"createdAt":1869,"updatedAt":1869},"demo-v2-topic-pemrograman-smp-3","perulangan-python-for-while","Perulangan Python","Pelajari perulangan Python dengan for, range(), dan while, lengkap dengan contoh program menghitung total, break, continue, dan latihan soal.","2026-10-14T16:01:45.560Z",{"id":1871,"subjectId":85,"levelId":95,"parentId":20,"slug":1872,"name":1873,"description":1874,"order":1856,"createdAt":1875,"updatedAt":1875},"demo-v2-topic-pemrograman-sd-3","perulangan-dalam-algoritma","Perulangan dalam Algoritma","Perulangan dalam algoritma mengulang langkah yang sama beberapa kali. Pelajari pengertian, contoh perulangan sehari-hari, dan cara menghitung hasilnya.","2026-10-14T16:01:45.436Z",{"id":1877,"subjectId":73,"levelId":101,"parentId":20,"slug":1878,"name":1879,"description":1880,"order":1856,"createdAt":1881,"updatedAt":1881},"demo-v2-topic-matematika-smp-3","rumus-prisma-dan-limas","Prisma dan Limas","Rumus volume prisma dan limas, luas permukaan, sifat sisi-rusuk-titik sudut, jaring-jaring, limas 3D interaktif, dan contoh soal bangun ruang sisi datar.","2026-10-14T16:01:44.400Z",{"id":1883,"subjectId":85,"levelId":30,"parentId":20,"slug":1884,"name":1885,"description":1886,"order":1856,"createdAt":1887,"updatedAt":1887},"demo-v2-topic-pemrograman-kuliah-3","unit-test-python","Unit Test Python","Pelajari unit test Python dengan modul unittest: assertEqual, assertRaises, nilai batas, dan cara menjalankan tes, lengkap dengan contoh dan versi pytest.","2026-10-14T16:01:45.832Z",{"id":1889,"subjectId":73,"levelId":30,"parentId":20,"slug":1890,"name":1891,"description":1892,"order":1856,"createdAt":1893,"updatedAt":1893},"demo-v2-topic-matematika-kuliah-3","vektor-3-dimensi-dot-product","Vektor 3D dan Dot Product","Vektor 3 dimensi: komponen, panjang vektor, vektor satuan, dot product atau perkalian titik, sudut antara dua vektor, proyeksi, dan contoh soal.","2026-10-14T16:01:44.715Z",{"id":1895,"subjectId":73,"levelId":95,"parentId":20,"slug":1896,"name":1897,"description":1898,"order":1856,"createdAt":1899,"updatedAt":1899},"demo-v2-topic-matematika-sd-3","rumus-volume-kubus","Volume dan Luas Permukaan Kubus","Rumus volume kubus V = s³ dan luas permukaan kubus L = 6s², sifat kubus, jaring-jaring, kubus 3D interaktif, dan contoh soal bertingkat.","2026-10-14T16:01:44.189Z",{"id":1901,"subjectId":73,"levelId":101,"parentId":20,"slug":1902,"name":1903,"description":1904,"order":1905,"createdAt":1906,"updatedAt":1906},"demo-v2-topic-matematika-smp-4","rumus-tabung-dan-kerucut","Tabung dan Kerucut","Rumus volume tabung dan kerucut, luas permukaan, garis pelukis, jaring-jaring berupa persegi panjang dan juring, kerucut 3D interaktif, dan contoh soal.",103,"2026-10-14T16:01:44.438Z",{"id":1908,"subjectId":85,"levelId":107,"parentId":20,"slug":1909,"name":1910,"description":1911,"order":1905,"createdAt":1912,"updatedAt":1912},"demo-v2-topic-pemrograman-sma-4","try-except-python","Try Except dan Membaca File","Pelajari try except Python untuk menangani error seperti ValueError dan FileNotFoundError, serta cara membaca dan menulis file txt dengan with open.","2026-10-14T16:01:45.731Z",{"id":1914,"subjectId":73,"levelId":95,"parentId":20,"slug":1915,"name":1916,"description":1917,"order":1905,"createdAt":1918,"updatedAt":1918},"demo-v2-topic-matematika-sd-4","rumus-volume-balok","Volume dan Luas Permukaan Balok","Rumus volume balok V = p × l × t dan luas permukaan balok L = 2(pl + pt + lt), sifat balok, jaring-jaring, balok 3D interaktif, dan contoh soal.","2026-10-14T16:01:44.239Z",[1920,1923,1928,1933],{"id":1921,"slug":25,"name":26,"createdAt":1922},"cmvogd3r1000607tdh34zf0vv","2026-10-25T23:22:15.997Z",{"id":1924,"slug":1925,"name":1926,"createdAt":1927},"cmvogctp7000507tdmugcad1g","fisika-statistik","Fisika Statistik","2026-10-25T23:22:02.971Z",{"id":1929,"slug":1930,"name":1931,"createdAt":1932},"cmvhrhrvm00027m1risodrm04","onmipa","ONMIPA","2026-10-21T06:59:26.435Z",{"id":1934,"slug":1935,"name":1935,"createdAt":1936},"cmvhrhm2s00017m1rpjm53zrv","tag","2026-10-21T06:59:18.917Z",[1938],{"code":1939,"nativeName":1940,"isDefault":5},"id","Bahasa Indonesia"]