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A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two point masses m and 2m moving in the same horizontal plane with speed 2v and v, respectively, strike the bar and stick to the bar (Fig. 4.7). The bar is set in rotation. Show that (a) the centre of mass velocity vc = 0 (b) the angular momentum J = 6mva (c) the angular velocity w = v/5a (d) the rotational energy E = 3mv^2/5 |
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