280_Physics ProblemsTechnical Physics

280_Physics ProblemsTechnical Physics - 282 P9.71 Linear...

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282 Linear Momentum and Collisions P9.71 The force exerted by the table is equal to the change in momentum of each of the links in the chain. By the calculus chain rule of derivatives, F dp dt dmv dt v dm dt m dv dt 1 == = + a f . We choose to account for the change in momentum of each link by having it pass from our area of interest just before it hits the table, so that FIG. P9.71 v dm dt 0 and m dv dt = 0. Since the mass per unit length is uniform, we can express each link of length dx as having a mass dm : dm M L dx = . The magnitude of the force on the falling chain is the force that will be necessary to stop each of the
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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