Vk be the points in R³ and suppose that for ****** ***E k an object with mass m; is located at point v₁. Physicists call such objects point masses. The total mass of the system of point masses is m = m₁ + +mk. The center of gravity (or center of mass) of the system is Let V₁. j=1, v= [m₁v₁ m Compute the center of gravity of the system consisting of the point masses above. ++ m₂ Point V₁ =(5, -6,1) V₂ =(3,2,-2) V3 = V4=(-9,6,6) The center of gravity is at v= (Simplify your answers.) (-3,-3,-4) COFF Mass 6g 15 g 6g 3g

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 10AEXP
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Let V₁. Vk be the points in R3 and suppose that for
j= 1, ..., k an object with mass mj is located at point v₁.
Physicists call such objects point masses. The total mass of
the system of point masses is m = m₁ ++ mk. The center of
gravity (or center of mass) of the system is
1
v=
++
m[m₁v₁ + mark]
Compute the center of gravity of the system consisting of the point masses above.
The center of gravity is at v=
(Simplify your answers.)
Point
V₁=(5, -6,1)
V₂ =(3,2,-2)
V3 = (-3,-3,-4)
V4=(-9,6,6)
Mass
6g
15 g
6 g
3g
Transcribed Image Text:Let V₁. Vk be the points in R3 and suppose that for j= 1, ..., k an object with mass mj is located at point v₁. Physicists call such objects point masses. The total mass of the system of point masses is m = m₁ ++ mk. The center of gravity (or center of mass) of the system is 1 v= ++ m[m₁v₁ + mark] Compute the center of gravity of the system consisting of the point masses above. The center of gravity is at v= (Simplify your answers.) Point V₁=(5, -6,1) V₂ =(3,2,-2) V3 = (-3,-3,-4) V4=(-9,6,6) Mass 6g 15 g 6 g 3g
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