A gymnast of mass 63.0 {\rm 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.Calculate the tension T in the rope if the gymnast climbs up the rope with an upward acceleration of magnitude 0.500 {\rm m/s^2}.

Answer 1

T=mg+ma
mg = weight = 63.o*9.81
ma= 63*.5
then add to get T

Answer 2

T= 496.368 N
= 496 N