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center of gravity and gravitation, Exercises of Law

center of gravity wxcercise bab1

Typology: Exercises

2022/2023

Uploaded on 03/19/2023

ahmad-fahruddin
ahmad-fahruddin 🇮🇩

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Matakuliah Gelombang dan Medan (FI711)
Tugas 1 Center of Gravity
1. Perhatikan gambar! Dua buah benda bermassa m terpisah pada jarak 2s.
(a) Tentukan posisi pusat gravitasi dari dua massa tersebut relatif
terhadap titik T yang berada pada jarak x terhadap titik tengah antara
kedua benda tersebut! (b) Untuk x >> s buktikan bahwa posisi pusat
gravitasi kedua benda tersebut berimpit dengan posisi pusat massanya!
(c) Bagaimana posisi pusat gravitasi jika 𝑥 0? (d) Tentukan posisi
pusat gravitasi untuk 𝑥 = 𝑠!
2. A mass M is located at x = a, y = 0, and a second mass (l )M is located at x = 0, y = b,
where 0 < < 1. (a) Find the coordinates x, y of the center of gravity of the two masses
relative to the origin. Show that your formulas for x, y have the proper limits when (b) = 0,
(c) 𝑏 , and (d) = 1.
.
s
s
x
T

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Matakuliah Gelombang dan Medan (FI711) Tugas 1 Center of Gravity

  1. Perhatikan gambar! Dua buah benda bermassa m terpisah pada jarak 2s. (a) Tentukan posisi pusat gravitasi dari dua massa tersebut relatif terhadap titik T yang berada pada jarak x terhadap titik tengah antara kedua benda tersebut! (b) Untuk x >> s buktikan bahwa posisi pusat gravitasi kedua benda tersebut berimpit dengan posisi pusat massanya! (c) Bagaimana posisi pusat gravitasi jika 𝑥 → 0? (d) Tentukan posisi pusat gravitasi untuk 𝑥 = 𝑠!
  2. A mass M is located at x = a, y = 0, and a second mass (l  )M is located at x = 0, y = b, where 0 <  < 1. (a) Find the coordinates x, y of the center of gravity of the two masses relative to the origin. Show that your formulas for x, y have the proper limits when (b)  = 0, (c) 𝑏 → ∞, and (d)  = 1. . s s x

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