A mass-spring system is in SHM in the horizontal direction. Part A If the mass i

Question

A mass-spring system is in SHM in the horizontal direction.

Part A

If the mass is 0.45kg , the spring constant is 13N/m , and the amplitude is 12cm , what is the maximum speed of the mass?

Part B

Express your answer using two significant figures.

Where does this occur?

Where does this occur?

at the equilibrium position

Part C

What is the speed at a half-amplitude position?

Express your answer using two significant figures.

at a half-amplitude position at a third-amplitude position at a quarter-amplitude position

at the equilibrium position

Part C

What is the speed at a half-amplitude position?

Express your answer using two significant figures.

Explanation / Answer

A.

1/2 k xmax^2 = 1/2 m vmax^2

Thus,

vmax = 0.645 m/s   [ANSWER]

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This happens at EQUILIBRIUM POSITION. [ANSWER]

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At half amplitude position,

1/2 k (xmax^2 - [xmax/2]^2) = 1/2 m v^2

Solving for v,

v = 0.5586 m/s   [ANSWER]

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