1 =-=-(m, m -[m₁v₁ +...+mkvk] Compute the center of gravity of the system consisting of the following point masses (see the figure): Point V₁ = (2,-2, 4) V₂=(-4, 2, 3) V3 (4,0,-2) = V₁ = (1, -6, 0) Mass 4 g 2 g 60 61 61 60 3 g 5 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
Solve the system of equations for the above
problem.
Q 2:
Let v1,..., Vk be points in R' and suppose that for
j = 1, .,k an object with mass m; is located at point v .
Physicists call such objects point masses. The total mass of
the system of point masses is
m = m¡ + ...+ m
The center of gravity (or center of mass) of the system is
V =
m,v1 + • ·+m²Vr]
Compute the center of gravity of the system consisting of the
following point masses (see the figure):
Point
Mass
Vị = (2,–2,4)
V2 = (-4, 2,3)
V3 = (4,0, –2)
V4 = (1,–6, 0)
4 g
2 g
3 g
5 g
Let v be the center of mass of a system of point
masses located at as in the figure. Explain whether
v is in the span or not.
Transcribed Image Text:Solve the system of equations for the above problem. Q 2: Let v1,..., Vk be points in R' and suppose that for j = 1, .,k an object with mass m; is located at point v . Physicists call such objects point masses. The total mass of the system of point masses is m = m¡ + ...+ m The center of gravity (or center of mass) of the system is V = m,v1 + • ·+m²Vr] Compute the center of gravity of the system consisting of the following point masses (see the figure): Point Mass Vị = (2,–2,4) V2 = (-4, 2,3) V3 = (4,0, –2) V4 = (1,–6, 0) 4 g 2 g 3 g 5 g Let v be the center of mass of a system of point masses located at as in the figure. Explain whether v is in the span or not.
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