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{"ops":[{"insert":"Consider a rod of mass 4m and length 2r\u00a0\nconnected to two spheres A and B of identical\u00a0\nmasses m. Balls of mass m fall right above\u00a0\nsphere A at certain rate that causes the rod\u00a0\nsystem to rotate such that, when sphere B\u00a0\nreaches the position of A it gets hit by a falling\u00a0\nball with velocity v.\u00a0\n\u00a0\n1 Calculate the angular velocity of the system \u03c9n+1 after it gets hit by ball\u00a0\nnumber n in terms of \u03c9n, v and r.\u00a0\n2 The rotating system reaches ultimately a constant rotational velocity \u03c90.\u00a0\nExpress \u03c90 as function of c and r.\u00a0\n3 How reaching a constant \u03c90 is still consistent with conservation of energy.\u00a0\n4 What would be the ultimate rotational velocity \u03c90 if the rotating system\u00a0\nincludes two roads making a cross shape, and each end is connected to a\u00a0\nsphere of mass m."},{"attributes":{"header":1},"insert":"\n"}]}
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