1. A disc rotates at 5.0 rad/s. A net torque acts on the disc to change its angular speed to 16.0 rad/s. If the disc turns through 12.0 rad during this time, calculate the angular acceleration of the disc. 2. You have an irregular flat object mounted on a table so it can rotate freely about a central axis. You observe that if you apply a perpendicular force of 5.0 N at a distance of 0.3m from the axis of rotation, you can accelerate the object from rest to 3.0 rev/s in just 1.0 s. What is the moment of inertia for this irregular object? 3. A 91.2-N ladder is in equilibrium, resting on two sawhorses, as shown below. What force does each sawhorse exert on the ladder? 1.50 m 1.00 m - -- A Center of mass 4. A 2 kg mass hangs on a rope wrapped around a disk-shaped pulley of mass 8 kg and radius 0.8m. (1 = 1/2 MRZ) a. Draw a Free Body Diagram of all the forces on the pulley and the mass below: b. What is the linear acceleration of the hanging mass? c. What is the tension applied on the rope