PLEASE, SHOW YOUR WORK

1. It is easier to rotate a rod about its center or about its edge and why?

2. Three children are pushing on a merry-go-round in order to get it to rotate. Two children are pushing clockwise while the third child pushes counter clockwise. Derive an expression for the net torque.

3. A pendulum with a bob of mass m is swinging. If the initial height of the bob is increased from h1 to 2(h1), then what is the velocity change?

4. A pendulum with a hanging mass m and a string of length l is swinging. How does the period change if the angle of release is increased by a factor of 2?

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