In a physics laboratory you do the following ballistic pendulum experiment: You shoot a ball of mass
Question:
(a) Use conservation of angular momentum to show that the angular speed of the ball and catcher just after the ball is caught is = m/(mr2 + I).
(b) After the ball is caught, the center of mass of the ball-catcher assembly system swings up with a maximum height increase h. Use conservation of energy to show that", =V2(M + m)gh/(mr2 + I).
(c) Your lab partner says that linear momentum is conserved in the collision and derives the expression mv = (m + M)V, where V is the speed of the ball immediately after the collision. She then uses conservation of energy to derive that V = V2ih, so that mv = (m + M) v'2ih. Use the results of parts (a) and (b) to show that this equation is satisfied only for the special case when r
is given by 1 = Mr2.
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Related Book For
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
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