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the circus apparatus known as the trapeze consists of a barsuspended by two rope

ID: 1725614 • Letter: T

Question

the circus apparatus known as the trapeze consists of a barsuspended by two ropes, each of length l. The trapeze allows circuspreformers to swing in a vertical circular arc. Suppose a performerwith mass m and holding a bar steps off an elevated platform,strating from rest withthe ropes at an angle of i withrespect to the vertical. Suppose the sixe of thepreformer's body isnegligible compared with the length l, that she does not pump thetrapeze to swing higher, and that air resistance is negligible.show that when the ropes make an angle of with respect tothe vertical, the perfomer must exert a force F=mg(3cos-2cosi) in order to hang on. determine the angle i at which theforce required to hang on at the bottom is twice the performer'sweight. the circus apparatus known as the trapeze consists of a barsuspended by two ropes, each of length l. The trapeze allows circuspreformers to swing in a vertical circular arc. Suppose a performerwith mass m and holding a bar steps off an elevated platform,strating from rest withthe ropes at an angle of i withrespect to the vertical. Suppose the sixe of thepreformer's body isnegligible compared with the length l, that she does not pump thetrapeze to swing higher, and that air resistance is negligible.show that when the ropes make an angle of with respect tothe vertical, the perfomer must exert a force F=mg(3cos-2cosi) in order to hang on. determine the angle i at which theforce required to hang on at the bottom is twice the performer'sweight.

Explanation / Answer

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