A particle is suspended from a post on top of a cart by a

Chapter 9, Problem 57

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A particle is suspended from a post on top of a cart by a light string of length L as shown in Figure P9.57a. The cart and particle are initially moving to the right at constant speed vi , with the string vertical. The cart suddenly comes to rest when it runs into and sticks to a bumper as shown in Figure P9.57b. The suspended particle swings through an angle u. (a) Show that the original speed of the cart can be computed from vi 5 !2gL11 2 cos u 2. (b) If the bumper is still exerting a horizontal force on the cart when the hanging particle is at its maximum angle forward from the vertical, at what moment does the bumper stop exerting a horizontal force?

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