07_A Gymnast on a Rope Part A A gymnast of mass 60.0 kg hangs from a vertical ro
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Question
07_A Gymnast on a Rope Part A A gymnast of mass 60.0 kg 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 for the acceleration of gravity. Calculate the tension T in the rope if the gymnast hangs motionless on the rope Express your answer in newtons. Submit Hints My AnswersGive Up Review Part Part B Calculate the tension T in the rope if the gymnast Express your answer in newtons. climbs the rope at a constant rate. 0 Submit Hints My AnswersGive Up Review PartExplanation / Answer
Given that
Mass of the gymnast m =60kg
Acceleration due to gravity (g) =9.81m/s2
Here the weight of the gymnast is int he down wards and tension in the string acting in the upward direction
a)
When the gymanat hangs motionless in the string then
T =mg =60*9.81 =588.6N
b)
When the gymanat climbs the rope at a cosntant rate of tension in the string then
T =mg =60*9.81 =588.6N
c)
When the gymnast climbs up the rope with upward acceleration of magnitude is a =1.50m/s2 is then
T -mg =ma
T =m(g+a) =60(9.81+1.50) =678.6N
d)
When the gymnast climbs down the rope with downward acceleration of magnitude is a =1.50m/s2 is then
mg-T =ma
T =m(g-a) =60(9.81-1.50) =498.6N
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