Question

A particle is suspended from a post on top of a cart by a light string of length L as shown in Figure P9.47a. The cart and particle are initially moving to the right at constant speed $v_{i},$ with the string vertical. The cart suddenly comes to rest when it runs into and sticks to a bumper as shown in Figure $\mathrm{P} 9.47 \mathrm{b}$ . The suspended particle swings through an angle $\theta$ (a) Show that the original speed of the cart can be computed from $v_{i}=\sqrt{2 g L(1-\cos \theta)}$ . (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?

          A particle is suspended from a post on top of a cart by a light string of length L as shown in Figure P9.47a. The cart and particle are initially moving to the right at constant speed $v_{i},$ with the string vertical. The cart suddenly comes to rest when it runs into and sticks to a bumper as shown in Figure $\mathrm{P} 9.47 \mathrm{b}$ . The suspended particle swings through an angle $\theta$ (a) Show that the original speed of the cart can be computed from $v_{i}=\sqrt{2 g L(1-\cos \theta)}$ . (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?

Added by Shawn L.

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