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A string is wrapped around a uniform disk of mass M and radius R. Attached to the disk are four low-mass rods of radius b, each with a small mass m at the end (Figure 9.63).

The apparatus is initially at rest on a nearly frictionless surface. Then you pull the string with a constant force F. At the instant when the center of the disk has moved a distance d, an additional length w of string has unwound off the disk. (a) At this instant, what is the speed of the center of the apparatus? Explain your approach. (b) At this instant, what is the angular speed of the apparatus? Explain your approach.

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Most popular questions from this chapter

A runner whose mass is 50kg accelerates from a stop to a speed of 10m/s in 3s. (A good sprinter can run 100m in about 10s, with an average speed of 10m/s.) (a) What is the average horizontal component of the force that the ground exerts on the runnerโ€™s shoes? (b) How much displacement is there of the force that acts on the sole of the runnerโ€™s shoes, assuming that there is no slipping? Therefore, how much work is done on the extended system (the runner) by the force you calculated in the previous exercise? How much work is done on the point particle system by this force? (c) The kinetic energy of the runner increasesโ€”what kind of energy decreases? By how much?

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