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cylertroutner
cylertroutner
14.11.2019 • 
Physics

Asmall mass m hangs at rest from a vertical rope of length ℓ that is xed to the ceiling. a force \vec{\bold{f}} then pushes on the
mass, perpendicular to the taut rope at all times, until the rope is oriented at an angle θ = θ0 and the mass has been
raised by a vertical distance h. assume the force’s magnitude f is adjusted so that the mass moves at constant
speed along its curved trajectory. show that the work done by \vec{\bold{f}} during this process equals mgh, which is equivalent to the amount of work it takes to slowly lift a mass m straight up by a height h. [hint: when the angle is increased by dθ (in radians), the mass moves along an arc length ds = ℓ dθ.]

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