A gymnast of mass 57.0 hangs from a vertical rope attached to the ceiling. You c

Question

A gymnast of mass 57.0 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 for the acceleration of gravity. a) Calculate the tension T in the rope if the gymnast hangs motionless on the rope. b) Calculate the tension T in the rope if the gymnast climbs the rope at a constant rate. c) Calculate the tension T in the rope if the gymnast climbs up the rope with an upward acceleration of magnitude 1.00 m/s^2 d) Calculate the tension T in the rope if the gymnast slides down the rope with a downward acceleration of magnitude 1.00 m/s^2

Explanation / Answer

a) = 63*9.81 = 618.03 N b) = 63*(9.81) = 618.03 N c) = 63*(9.81+1) = 681.03 N d) = 63*(9.81-1) = 555.03 N

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