You are responsible for completing any 3 out of 4 problems. All four problems wi

Question

You are responsible for completing any 3 out of 4 problems. All four problems will be graded and your three best will be counted. for maximum partial credit three masses located in the xy plane have the following coordinates: a 3-kg mass has coordinates (x, y) given by (3, minus 2)m; a 4 -kg mass has coordinates (minus 2, 4)m; a 1-kg mass has coordinates(2,2)m. find the coordinates of center of the mass.(you can keep up to 3 significant figures or simply keep your answers in terms of functions) now suppose this system of masses rotates CCW, with constant angular velocity w in the xcirc ycirc plane, about the zcirc axis what is the moment of inertia of this sytem?

Explanation / Answer

a) x_com = [3*3 + 4*(-2) + 1*2]/[3+4+1] = 3/8 m
y_com = [3*(-2) + 4*4 + 1*2]/8 = 1.5 m

b) I = m1r1^2 + m2r2^2 + m3r3^2 = 3*(13) + 4*(20) + 1*8 = 127 kgm^2

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