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(a) After sliding across the horizontal surface, the block of mass M collides elastically with a vertical rod of length R and mass MR that is pivoted at the upper end. The block immediately stops, and the rod swings without resistance to a maximum angle of ?0. This can occur only for a very specific rod mass- what is that mass? In other words, what must be the mass of the rod, MR, in terms of the mass of the block, M, such that the speed of the block is zero immediately after the collision?
(b) What is the maximum displacement angle ?0?
(c) After reaching ?0, the rod swings back and strikes the block, sending it back along its way. What is the angular speed of the rod after this second elastic collision? What is the speed of the block, v4? How much elapses between these two collisions?
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