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An acrobat of mass 'm' slides down a vertical rope of height 'h'. for the first three-quarters of her descent she grips the rope with her hands and legs so as to produce a frictional force equal to five-ninths of her weight. She then tightens her grip so that she comes to rest at the bottom of the rope. Find the frictional force she must produce in the last quarter. If the rope is 30m high, calculate
(a) Her greatest speed
(b) the time she takes to descend.
(a) Her greatest speed
(b) the time she takes to descend.
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You could approach this question with N2L in your head. Alternatively, you could use the W-E principle.
By applying N2L you can obtain an acceleration and hence use SUVAT to find (a) and (b).
By applying N2L you can obtain an acceleration and hence use SUVAT to find (a) and (b).
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