A cord is wrapped around a pulley that is shaped likea disk of mass m and radius r. The

Chapter 10, Problem 92

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A cord is wrapped around a pulley that is shaped likea disk of mass m and radius r. The cords free end isconnected to a block of mass M. The block starts fromrest and then slides down an incline that makes anangle u with the horizontal as shown in Figure P10.92.The coefficient of kinetic friction between block andincline is m. (a) Use energy methods to show that theblocks speed as a function of position d down theincline isv 5 4Mgd 1sin u 2 m cos u 2m 1 2M(b) Find the magnitude of the acceleration of the blockin terms of m, m, M, g, and u.

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