A gymnast of mass 50.0kg hangs from a vertical rope attached to the ceiling. You

Question

A gymnast of mass 50.0kg 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/s^2 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 0.900m/s^2

d. Calculate the tension T in the rope if the gymnast slides down the rope with a downward acceleration of magnitude 0.900m/s2

Explanation / Answer

a ) T =mg =50*9.81 =490.5 N (ans)

b) T =mg =50*9.81 =490.5 N (ans)

c) T = m(g+a) =50(9.81+0.9) =535.5 N (ans)

d) T =m(g-a) =50(9.81-0.9) =455.5 N (ans)

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