...Periodic Motion

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1.

Consider a pendulum, which has a period of 1 second on the Earth. What will its period be on the moon? Can you solve this problem without actually finding the length of the pendulum? How?



2.

When you push a child on a swing, your action is most effective when your pushes are time to concide with the natural frequency of the motion. You are swinging a 30 kg child on a swing suspended from 5 meter cables.

Estimate the optimum time interval between your pushes.

Repeat the estimate for a 15 kg child.



3.

When a simple harmonic oscillator is subject to a damping force,

the total mechanical energy is conserved

the amplitude is decreasing but the total mechanical energy remains constant

the total energy and the amplitude are decreasing

none of the above is true



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