A gymnast of mass m climbs a vertical rope attached to the ceiling. You can ignore the weight of the rope. Draw a free-body diagram for the gymnast.
Calculate the tension in the rope if the gymnast
(a) Climbs at a constant rate;
(b) Hangs motionless on the rope;
(c) Accelerates up the rope with an acceleration of magnitude all;
(d) Slides down the rope with a downward acceleration of magnitude lal.