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Part A If the amplitude of a simple harmonic oscillator is doubled, by what mult

ID: 1460061 • Letter: P

Question

Part A

If the amplitude of a simple harmonic oscillator is doubled, by what multiplicative factor does the angular frequency change?

Part B

If the amplitude of a simple harmonic oscillator is doubled, by what multiplicative factor does the frequency change?

Part C

If the amplitude of a simple harmonic oscillator is doubled, by what multiplicative factor does the period change?

Part D

If the amplitude of a simple harmonic oscillator is doubled, by what multiplicative factor does the maximum speed change?

Part E

If the amplitude of a simple harmonic oscillator is doubled, by what multiplicative factor does the maximum acceleration change?

Part F

If the amplitude of a simple harmonic oscillator is doubled, by what multiplicative factor does the total mechanical energy change?

Explanation / Answer

Part A:

A2 =2A1

Remains same.

Part B:

Remians same

Part C:

remians same

Part D:

v=Aw

Maximum speed is doubled

Part E:

a =Aw^2

Maximum acceleration is doubled.

Part F: 4 times increased.

W =(1/2)kA^2

Wf = 4Wi