{"id":315819,"date":"2023-05-14T15:28:00","date_gmt":"2023-05-14T08:28:00","guid":{"rendered":"https:\/\/quipperhome.wpcomstaging.com\/?p=315819"},"modified":"2023-05-10T17:40:38","modified_gmt":"2023-05-10T10:40:38","slug":"titik-berat","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/fisika\/titik-berat\/","title":{"rendered":"[Rumus] Macam Titik Berat Benda Berdimensi Satu, Dua, Tiga dan Contoh Soal"},"content":{"rendered":"\n
\"[Rumus]<\/figure>\n\n\n\n

Hai Quipperian, pernahkah kamu mencoba berdiri dengan satu kaki? Hmm, bagaimana ya rasanya? Saat berdiri dengan satu kaki, pasti kamu mudah terasa lelah dan lebih sulit untuk menyeimbangkan diri, dibandingkan berdiri dengan dua kaki.<\/p>\n\n\n\n

Kira-kira, apa ya penyebabnya? Yaa benar sekali. Hal itu disebabkan oleh perbedaan titik berat pada tubuhmu. Perbedaan posisi anggota tubuh sangat mempengaruhi letak titik beratnya.<\/p>\n\n\n\n

Saat berdiri dengan dua kaki, titik berat itu berada di daerah pusar. Nah, saat berdiri dengan satu kaki, letak titik berat itu akan bergeser. Lalu, apa sih yang dimaksud titik berat itu? Yuk, simak selengkapnya!<\/p>\n\n\n\n

Pengertian Titik Berat<\/h2>\n\n\n\n

Titik berat adalah titik konsentrasi atau titik pusat berat atau titik pusat gravitasi suatu benda. <\/strong>Seperti kamu ketahui bahwa setiap benda tersusun atas banyak partikel bermassa.<\/p>\n\n\n\n

Nah, gabungan seluruh massa partikel di dalam benda disebut sebagai berat. Resultan gaya yang bekerja di titik berat ini sama dengan nol karena titik ini merupakan titik tangkap semua gaya berat yang bekerja pada benda.<\/p>\n\n\n\n

Itulah mengapa, saat berdiri dengan dua kaki, kamu akan terasa seimbang dibandingkan berdiri dengan satu kaki. Biasanya, titik berat ditulis dalam bentuk koordinat (x0<\/sub>, y0<\/sub>). Perhatikan contoh berikut.<\/p>\n\n\n\n

\"titik<\/figure>\n\n\n\n

Nah, titik berat benda di atas bisa dirumuskan sebagai berikut.<\/p>\n\n\n\n

\"Rumus<\/figure>\n\n\n\n

Keterangan Rumus<\/strong><\/p>\n\n\n\n

x0<\/sub> = titik pusat pada sumbu-x<\/p>\n\n\n\n

y0<\/sub> = titik pusat pada sumbu-y<\/p>\n\n\n\n

x1<\/sub> = titik absis berat ke-1<\/p>\n\n\n\n

x2<\/sub> = titik absis berat ke-2<\/p>\n\n\n\n

x3<\/sub> = titik absis berat ke-3<\/p>\n\n\n\n

y1<\/sub> = titik ordinat berat ke-1<\/p>\n\n\n\n

y2<\/sub> = titik ordinat berat ke-2<\/p>\n\n\n\n

y3<\/sub> = titik ordinat berat ke-3<\/p>\n\n\n\n

w1<\/sub> = berat ke-1<\/p>\n\n\n\n

w2<\/sub> = berat ke-2<\/p>\n\n\n\n

w3<\/sub> = berat ke-3<\/p>\n\n\n\n

\n

Baca Juga: <\/span> Keseimbangan Benda Tegar \u2013 Fisika Kelas 11 \u2013 Pengertian, Syarat, dan Contoh Soal<\/a><\/p>\n<\/div>\n\n\n\n

Macam-Macam Titik Berat<\/h2>\n\n\n\n

Berdasarkan jenis bendanya, titik berat dibagi menjadi tiga macam, yaitu titk berat benda homogen berdimensi satu, titik berat benda homogen berdimensi dua (luas), dan titik berat benda homogen berdimensi tiga (volume). Apa perbedaan antara ketiga titik berat?<\/p>\n\n\n\n

Titik Berat Benda Berdimensi Satu<\/h3>\n\n\n\n

Tentu kamu tahu lidi, kan? Bukan sapu lidi ya, tapi lidinya. Nah, lidi merupakan benda yang berdiameter sangat kecil, namun ukurannya panjang. Oleh sebab itu, benda-benda seperti lidi, kawat, disebut benda berdimensi satu.<\/p>\n\n\n\n

Titik berat benda berdimensi satu berpusat di panjangnya saja. Secara matematis, rumus titik berat benda berdimensi satu adalah sebagai berikut.<\/p>\n\n\n\n

\"rumus<\/figure>\n\n\n\n

Keterangan Rumus<\/strong><\/p>\n\n\n\n

x1<\/sub> = titik absis garis ke-1<\/p>\n\n\n\n

x2<\/sub> = titik absis garis ke-2<\/p>\n\n\n\n

y1<\/sub> = titik ordinat garis ke-1<\/p>\n\n\n\n

y2<\/sub> = titik ordinat garis ke-2<\/p>\n\n\n\n

L1<\/sub> = titik panjang garis ke-1<\/p>\n\n\n\n

L2<\/sub> = titik panjang garis ke-2<\/p>\n\n\n\n

Berikut ini merupakan tabel benda-benda yang memiliki dimensi satu beserta rumus titik berat pada sumbu-y (y0<\/sub>).<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Titik Berat Benda Berdimensi Dua (Luas)<\/h3>\n\n\n\n

Benda berdimensi dua adalah benda yang memiliki panjang serta lebar, contoh persegi, segitiga, jajargenjang, trapesium, dan sebagainya. Titik berat benda berdimensi dua ditinjau dari luas benda tersebut. Secara matematis, dirumuskan sebagai berikut.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Keterangan Rumus<\/b><\/p>\n\n\n\n

x1<\/sub> = titik absis garis ke-1<\/p>\n\n\n\n

x2<\/sub> = titik absis garis ke-2<\/p>\n\n\n\n

y1<\/sub> = titik ordinat garis ke-1<\/p>\n\n\n\n

y2<\/sub> = titik ordinat garis ke-2<\/p>\n\n\n\n

A1<\/sub> = luas bangun garis ke-1<\/p>\n\n\n\n

A2<\/sub> = luas bangun garis ke-2<\/p>\n\n\n\n

Adapun contoh yang termasuk bangun berdimensi dua beserta rumus titik berat pada sumbu-y (y0<\/sub>).<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Titik Berat Benda Berdimensi Tiga (Volume)<\/h3>\n\n\n\n

Cara menentukan titik berat benda berdimensi tiga hampir sama dengan benda berdimensi satu atau dua. Hanya saja, pada dimensi tiga kamu harus tahu dulu volume bendanya. Contoh benda berdimensi tiga adalah tabung, limas, prisma, kubus, balok, dan sebagainya. Secara matematis, rumus titik berat benda berdimensi tiga adalah sebagai berikut.<\/p>\n\n\n\n

\"Rumus<\/figure>\n\n\n\n

Keterangan Rumus<\/strong><\/p>\n\n\n\n

x1<\/sub> = titik absis garis ke-1<\/p>\n\n\n\n

x2<\/sub> = titik absis garis ke-2<\/p>\n\n\n\n

y1<\/sub> = titik ordinat garis ke-1<\/p>\n\n\n\n

y2<\/sub> = titik ordinat garis ke-2<\/p>\n\n\n\n

V1<\/sub> = volume bangun garis ke-1<\/p>\n\n\n\n

V2<\/sub> = volume bangun garis ke-2<\/p>\n\n\n\n

Adapun contoh yang termasuk bangun berdimensi tiga beserta rumus titik berat pada sumbu-y (y0<\/sub>).<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n

Contoh Soal Titik Berat<\/h2>\n\n\n\n

Agar kamu semakin paham cara menentukan titik berat pada suatu bangun, yuk simak contoh soal berikut ini.<\/p>\n\n\n\n

Contoh Soal 1<\/h3>\n\n\n\n

Empat buah kawat disusun seperti gambar berikut.<\/p>\n\n\n\n

\"contoh<\/figure>\n\n\n\n

Tentukan letak titik berat kawat tersebut!<\/p>\n\n\n\n

Pembahasan<\/p>\n\n\n\n

Oleh karena ada 4 kawat, maka kamu harus menentukan L1, L2, L3, dan L4. Ingat, benda berbentuk kawat termasuk benda satu dimensi, sehingga titik beratnya terwakili oleh panjang benda. Dengan demikian, diperoleh:<\/p>\n\n\n\n

L1 <\/sub>= 40 cm<\/p>\n\n\n\n

L2 <\/sub>= 60 cm<\/p>\n\n\n\n

L3 <\/sub>= 20 cm<\/p>\n\n\n\n

L4 <\/sub>= 40 cm<\/p>\n\n\n\n

Selanjutnya, tentukan koordinat x1<\/sub>– x4<\/sub> dan y1<\/sub> \u2013 y4<\/sub>.<\/p>\n\n\n\n

x1<\/sub> = 20<\/td>y1<\/sub> = 40<\/td><\/tr>
x2<\/sub> = 30<\/td>y2 = 40<\/td><\/tr>
x3<\/sub> = 60<\/td>y3 = 30<\/td><\/tr>
x4<\/sub> = 0<\/td>y4<\/sub> = 60<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Lalu, tentukan koordinat titik beratnya dengan rumus berikut.<\/p>\n\n\n\n

\"1_tentukan<\/figure>\n\n\n\n

Jadi, koordinat titik beratnya adalah (23,75; 43,75).<\/p>\n\n\n\n

Contoh Soal 2<\/h3>\n\n\n\n

Diketahui bangun seperti berikut.<\/p>\n\n\n\n

\"contoh<\/figure>\n\n\n\n

Tentukan letak titik berat bangun di atas terhadap alasnya!<\/p>\n\n\n\n

Pembahasan<\/p>\n\n\n\n

Bangun di atas merupakan bangun gabungan antara persegi dan segitiga sama sisi. Mula-mula, tentukan dahulu luas persegi dan luas segitiganya.<\/p>\n\n\n\n

\nA1<\/sub><\/em> (persegi) = 3 x 3<\/br>\n      = 9 cm2<\/sup>\n<\/p>\n\n\n\n\n

\nA2<\/sub><\/em> (segitiga)  = 1\/2 x 3 x 1<\/br>\n      = 1.5 cm2<\/sup>\n<\/p>\n\n\n\n\n

Lalu, tentukan y1 dan y2 bangun di atas.<\/p>\n\n\n\n

\ny1<\/sub> = 1,5 cm<\/br>\ny2<\/sub> = 0,5 + 3 = 3,5 cm\n<\/p>\n\n\n\n\n

Dengan demikian :<\/p>\n\n\n\n

\"jawaban<\/figure>\n\n\n\n

Jadi, titik berat bangun terhadap alasnya adalah 1,785 cm.<\/p>\n\n\n\n

Contoh Soal 3<\/h3>\n\n\n\n

Coba perhatikan gabungan beberapa garis berikut.<\/p>\n\n\n\n

\"contoh<\/figure>\n\n\n\n

Berapa ya koordinat titik berat gabungan beberapa garis di atas?<\/p>\n\n\n\n

Silahkan coba sendiri di rumah, ya.<\/p>\n\n\n\n

Jika kamu ingin tahu jawabannya, yuk silahkan gabung Quipper Video.<\/p>\n","protected":false},"excerpt":{"rendered":"

Hai Quipperian, pernahkah kamu mencoba berdiri dengan satu kaki? Hmm, bagaimana ya rasanya? Saat berdiri dengan satu kaki, pasti kamu mudah terasa lelah dan…<\/p>\n","protected":false},"author":156742495,"featured_media":315875,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[679384877],"tags":[],"ppma_author":[679386821,679386838],"class_list":["post-315819","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-fisika"],"acf":[],"yoast_head":"\n[Rumus] Macam Titik Berat Benda Berdimensi Satu, Dua, Tiga dan Contoh Soal - Quipper Blog<\/title>\n<meta name=\"description\" content=\"Simak apa itu titik berat benda serta rumus dari macam-macam titik berat benda berdimensi satu, dua dan tiga dan contoh soal pembahasannya\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/quipperhome.wpcomstaging.com\/mapel\/fisika\/titik-berat\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Rumus] Macam Titik Berat Benda Berdimensi Satu, Dua, Tiga dan Contoh Soal - Quipper Blog\" \/>\n<meta property=\"og:description\" content=\"Simak apa itu titik berat benda serta rumus dari macam-macam titik berat benda berdimensi satu, dua dan tiga dan contoh soal pembahasannya\" \/>\n<meta property=\"og:url\" content=\"https:\/\/quipperhome.wpcomstaging.com\/mapel\/fisika\/titik-berat\/\" \/>\n<meta property=\"og:site_name\" content=\"Quipper Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/QuipperVideoID\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-05-14T08:28:00+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2023\/05\/Rumus-Macam-Titik-Berat-Benda-Berdimensi-Satu-Dua-Tiga-dan-Contoh-Soal.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"1280\" \/>\n\t<meta property=\"og:image:height\" content=\"780\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"author\" content=\"Ahmad Nurhakim, Cecep Saeful Mukti, S.Pd.\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@quipper_id\" \/>\n<meta name=\"twitter:site\" content=\"@quipper_id\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ahmad Nurhakim\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/fisika\\\/titik-berat\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/fisika\\\/titik-berat\\\/\"},\"author\":{\"name\":\"Ahmad Hakim\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#\\\/schema\\\/person\\\/e8949d86562428c8aa73a14c68a5963f\"},\"headline\":\"[Rumus] Macam Titik Berat Benda Berdimensi Satu, Dua, Tiga dan Contoh Soal\",\"datePublished\":\"2023-05-14T08:28:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/fisika\\\/titik-berat\\\/\"},\"wordCount\":823,\"publisher\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/fisika\\\/titik-berat\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/wp-content\\\/uploads\\\/2023\\\/05\\\/Rumus-Macam-Titik-Berat-Benda-Berdimensi-Satu-Dua-Tiga-dan-Contoh-Soal.webp\",\"articleSection\":[\"Fisika\"],\"inLanguage\":\"id\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/fisika\\\/titik-berat\\\/\",\"url\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/fisika\\\/titik-berat\\\/\",\"name\":\"[Rumus] Macam Titik Berat Benda Berdimensi Satu, Dua, Tiga dan Contoh Soal - 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