Q1. A 900N crate is being pulled across a level floor by a force F of 360N at an angle of 21° above the horizontal. The coefficient of kinetic friction between the crate and the floor is 0.25. Find out the magnitude of the acceleration of the crate.

Q2. A gymnast of mass 60kg 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 9.81 for the acceleration of gravity.

1) Compute the tension in the rope if the gymnast hangs motionless on rope.

2) Analyse the tension in the rope if the gymnast climbs the rope at a constant rate.

3) Compute the tension in the rope if the gymnast climbs up the rope with an upward acceleration of magnitude 1.40 m/s^2.

4) Compute the tension in the rope if the gymnast slides down the rope with a downward acceleration of magnitude 1.40 m/s^2.