5. QC A simple pendulum con- sists of a small object of mass 3.0 kg hanging at the end of a 2.0-m-long light string that is connected to a pivot point. (a) Calculate the magnitude of the torque (due to the force of gravity) about this pivot point when the string makes a 5.0° angle with the vertical. (b) Does the torque increase or decrease as the angle increases? Explain.

2.5 3. A playground merry-go-round of radius 1.5 meters. The child applies a constant force of F, =50 Newtons to the rim. There is a frictional torque of 35 Nm opposing the rotation. The graph shows a plot of the resulting angular velocity of the merry-go-round as a function of time. 2 1.5 0.5 Fo view from above time (s) a. What is the torque due to the force F, (take ccw as positive)? b. What is the moment of inertia of the merry-go-round? @ (rad/sec)

A pulley is bolted to a wall as shown. The pulley is a flat disk of mass mp, radius R and moment of inertia I = mpR². A mass MH hangs from it by a rope that is wound about the pulley and does not slip. a. Give an appropriate force diagram for each of the two masses. b. Write ALL equations necessary to solve for the linear acceleration of MH. B мн

A simple pendulum consists of a small object of mass 3.0 kg hanging at the end of a 2.0-m-long light string that is connected to a pivot point. (a) Calculate the magnitude of the torque (due to the force of gravity) about this pivot point when the string makes a 8.0° angle with the vertical. N.m (b) Does the torque increase or decrease as the angle increase? increase O decrease Explain.