The masses m; are located at the points Pj. Find the moments My and My and the center of mass of the system. m1 = 1, m2 = 4, m3 = 5; P1 = (2, -6), P2 = (-3, 2), P3 = (3, 4) Step 1 The total mass of the system is the sum of the individual masses. m = m1 + m2 + m3 10 10 Step 2 In terms of m¡ and (xj, yi), we have the following formulas. Mx = i = 1 My = E i = 1

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter10: Systems Of Particles And Conservation Of Momentum
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The masses m¡ are located at the points Pj. Find the moments My and My and the center of mass of the system.
m1 = 1, m2 = 4, m3 = 5;
Pi %3D (2, -6), Р2 3D (-3, 2), Рз %3D (3, 4)
Step 1
The total mass of the system is the sum of the individual masses.
m = m1 + m2 + m3
10
10
Step 2
In terms of m; and (xj, Yi), we have the following formulas.
3
Mx =
Σ
i = 1
3
My = E
i = 1
Transcribed Image Text:The masses m¡ are located at the points Pj. Find the moments My and My and the center of mass of the system. m1 = 1, m2 = 4, m3 = 5; Pi %3D (2, -6), Р2 3D (-3, 2), Рз %3D (3, 4) Step 1 The total mass of the system is the sum of the individual masses. m = m1 + m2 + m3 10 10 Step 2 In terms of m; and (xj, Yi), we have the following formulas. 3 Mx = Σ i = 1 3 My = E i = 1
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