Question

1. Find the moment of inertia of a stick of length 4 m and mass 10 kg that is rotated about an axis that is 30 % from the left end of the stick. Hint do the integration of r^2 dm

2. A 123 kg merry go round with a 5 m radius rotates on a vertical axis. If I push at the edge with a force of 188 N, find the angular acceleration. The moment of inertia of disk is l = 1/2 m r^2

3. A wheel with a radius of 0.8 m is spinning at 164 rad/s when friction slows it down at an angular acceleration of -9 rad/s^2 to a final angular velocity of 36 rad/s. How much time did it take to slow down?

4. A drill turns at 16 rad/s when it accelerates to 30 rad/s in 18 seconds. Find the angle the drill rotates thru in this time.

5. A roller-coaster rolls thru a vertical circular loop with a radius of 24 m. Find the minimum speed at the very top of the loop to make it around without falling.

6. A car can just make it around a curve with no banking at 33 m/s when the road is dry and u = 0.9. Find the maximum speed if it rains and u = 0.4

Answer 1