2. Let V₁, ..., Vk be points in R³ and suppose that for j = 1, ..., k an object with mass mj is located at point vj. Physicists call such objects point masses. The total mass of the system of point masses is m = m₁ + The center of mass of the system is 1 V=- -(m₁v₁ +· m +mk. Point (5,-4,3) (4,3,-2) +muon). Compute the center of mass of the system consisting of the following point masses. Mass 2 g. 5 g. (-4,-3,-1) 2 g. (-9, 8, 6) 1 g.
2. Let V₁, ..., Vk be points in R³ and suppose that for j = 1, ..., k an object with mass mj is located at point vj. Physicists call such objects point masses. The total mass of the system of point masses is m = m₁ + The center of mass of the system is 1 V=- -(m₁v₁ +· m +mk. Point (5,-4,3) (4,3,-2) +muon). Compute the center of mass of the system consisting of the following point masses. Mass 2 g. 5 g. (-4,-3,-1) 2 g. (-9, 8, 6) 1 g.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:. ....
2. Let V₁, Vk be points in R³ and suppose that for j = 1,..., k an object with mass m
is located at point vj. Physicists call such objects point masses. The total mass of the
system of point masses is
m =
=
m₁ +
The center of mass of the system is
1
(m₁v₁ + +mkok).
m
·+mk.
Compute the center of mass of the system consisting of the following point masses.
Point
(5,-4,3)
(4,3,-2)
(-4,-3,-1)
(-9, 8, 6)
Mass
2 g.
5 g.
2 g.
1 g.
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