A wheel that is initially at rest has forces applied to it, as shown in the figure, and it begins to rotationally accelerate. Calculate the net torque about the axle of the wheel shown in figure. Assume that a friction torque of 0.95 m⋅N opposes the motion.

The platform shown in the figure below (The Merry-Go-Round) has a mass of M- 100 kg and radius R 2.0 m. Lia (m 30 kg) walks slowly from the rim of the disk toward its center. If the angular speed of the system is 2.0 rad/s when Lia is at the rim, what is the angular speed when she reaches a pointr 3- 0.5 m from the center? M

You stand on a turn-table with arms extended out horizontally, as shown in the figure below. In each hand, she holds an 8 kg weight. In this initial state, your professor and the turn-table are rotating at a constant rate of 9 rpm. Note that each weight is held 85 cm from the axis of rotation. Your professor brings her arms, and the weights, inwards towards her axis of rotation, as shown in the figure. What is the final rotational speed, in rpm, of your professor on the turn- table? You can assume that the weights are located on the axis of rotation in this final state. Wi Wt inital rinal State stüte The turn-table has a moment of inertia of 0.31 kg m^2. Your mated as a solid cylinder of uniform density with a mass of 65 kg and a radius of 16 cm. You can neglect the mass of the arms. assume that the weights can be approximated as point masses. body can be approxi-

Cyclist! A cyclist starts from rest and pedals such that the wheels of his bike have a constant angular acceleration. After 14 s, the wheels have made 48 rev. What is the angular velocity of the wheels after 14 s in rad/s ? rad/s Submit Answer Tries 0/2 What is the angular acceleration of the wheels in rad/s² ? rad/s² Submit Answer Tries 0/2 If the radius of the wheel is 37 cm, and the wheel rolls without slipping, how far has the cyclist (in m) traveled in 14 s? m Submit Answer Tries 0/2