An object, attached to a 0.6 m string, does 4 rotation in one second. T, the period is defined as the time taken to complete one rotation. Find the angular and tangential velocities. a) ω = 25.1 rad/s, v = 15.06 m/s b) ω = 1.56 rad/s, v = 0.94 m/s

= A pendulum consists of a rod of mass 1.80 kg and length L 1.00 m with a solid sphere at one end with mass 0.320 kg and radius 24.0 cm (see the following figure). If the pendulum is released from rest at an angle of 0 = 29.0°, what is the angular velocity at the lowest point? Axis A Part 1 + To solve this problem it will be necessary to first find the moment of inertia of the pendulum. What is its moment of inertia? Part 2 + What is the initial gravitational potential energy of the pendulum? Define the gravitational potential energy to be zero when the pendulum is at its lowest point. Part 3 What is the angular velocity of the pendulum at its lowest point?

A hollow sphere with a radius R and a mass M (note that I = (2/3)MR^2 for a hollow sphere) rolls down an incline with an angle θ. Its acceleration down the ramp is given by: A. 5/3gsinθ B. gsinθ  C. 3/5gsinθ D. 1/2gsinθ A solid uniform disk with a radius R and a mass M (note that I = (1/2)MR^2 for a solid disk) rolls down an incline with an angle θ. Its acceleration down the ramp is given by: ⃝ A. 5/3gsinθ ⃝ B. gsinθ  ⃝ C. 2/3gsinθ  ⃝ D. 1/2gsinθ

When a 3 kg mass is hung on a vertical spring, it extends the spring by 3.00 m. What is the angular velocity ω (in rads/s) of the mass when it oscillates back and forth on this spring?