A gymnast of mass 52.0kg hangs from a vertical rope attached to the ceiling. You

Question

A gymnast of mass 52.0kg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81m/s2 for the acceleration of gravity.

part A :

calculate the tension T in the rope if the gymnast hangs on the rope

part B:

calculate the tension T in the rope if the gymnast climbs the rope at a constant rate

part C :

calculate the tension T in the rope if the gymnast climbs up the rope with an upward acceleration of magnitude 1.50m/s/s

part D:

calculate the tension T in the rope if the gymnast slides down the rope with a downward acceleration of magnitude 1.50m/s/s

Explanation / Answer

A) T = 52*9.81 = 510.12 N

B) 510.12 N

C) 510.12 + (52*1.50) = 588.12 N

D) 510.12 - (52*1.50) = 432.12 N

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