Four particles with masses m 1 = 15 kg, m 2 = 25 kg, m 3 =

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Four particles with masses m1= 15 kg, m2= 25 kg, m3= 10 kg, and m4= 20 kg sit on a very light (mass less) metal sheet and are arranged as shown in Figure P8.42. Find the moment of inertia of this system with the pivot point (a) at the origin and (b) at point P. Assume the rotation axis is parallel to the z direction, perpendicular to the plane of the drawing.

Figure P8.42

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