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Consider a bicycle wheel, radius ? with rim of mass ? and axle of mass ?....

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Physics

Consider a bicycle wheel, radius ? with rim of mass ? and axleof mass ?. The masses of the wheel’s thin spokes are so small thatwe will neglect them. Initially, the wheel is resting on ahorizontal surface, and you hold its axle, a hand on each side ofthe wheel, so that it doesn’t tip over. At time ? = 0? you exert ahorizontal force of magnitude ? on the axle so that the wheelbegins to roll without slipping.

a) Determine the wheel’s speed when you have pushed it forward adistance ?.

b) Determine the magnitude of the friction force that thesurface exerts on the wheel while you push it.

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