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You are pushing someone on a swing, but they are not happy with how high they...

You are pushing someone on a swing, but they are not happy with how high they are swinging back and forth.You then adjust how you are pushing them the swing. Explain in your own words and with diagrams:
(a) What determines the natural frequency of the system? Why?
(b) What is slowing down the natural motion of the system? Why?
(c) What frequency should be employed to push the system more effectively? Why?
(d) What phase lag is needed to push the system more effectively? Why?
Science   Advanced-Physics   
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