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A toy chest and its contents have a combined weight ofW= 200 N. The coefficient of static friction between toy chest and floorμsis 0.450. The child in the figure attempts to move the chest across the floor by pulling on an attached rope.(a)Ifθis 43.0°, what is the magnitude of the force  that the child must exert on the rope to put the chest on the verge of moving? Determine(b)the value ofθfor whichFis a minimum and(c)that minimum magnitude.

What is the smallest radius of an unbanked (flat) track around which a bicyclist can travel if her speed is 29.0 km/h and the coefficient of static friction between tires and track is 0.320? The bicyclist, bicycle and tires are all to the right of the center of the track. Treat the bicyclist, bicycle and tires as one object.

A student of weight 627 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force  on the student from the seat is 565 N. (a) What is the magnitude of  at the lowest point? If the wheel's speed is doubled, what is the magnitude FN at the (b) highest and (c) lowest point?

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