Consider three masses, m1, m2, and m3, such that m1 = 3m, m2 = 2m, and m3 = 1m.
ID: 1890385 • Letter: C
Question
Consider three masses, m1, m2, and m3, such that m1 = 3m, m2 = 2m, and m3 = 1m. Let the locations and velocities of m1, m2, and m3 be X1 = 3e^x + 4e^y, X2 = -1 e^x + - 1 e^y. x3 = -1 e^x + 5e^y (in units of meters) and = 4e^x + 4e^y, V2 = - 3e^y, V3 = - 2 e^x (in units of meters per second). What are the center of mass position and the center of mass velocity? What are the center of mass position and the center of mass velocity? What are x'1, x'2. and x'3? What are v'1. v'2. and v'3? Show that v'1 = 0 for these three masses. Show that the kinetic energy of the center of mass plus the kinetic energy about the center of mass equals the total kinetic energy of the three masses. Draw a picture representing x1, x2, x3, x'1, x'2, x'3, v1, v2, v3, the center of mass position and the center of mass velocity.Explanation / Answer
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