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The velocity of a simple harmonic oscillator is given by v = -8.02sin(21.11t) (mks units) If...

The velocity of a simple harmonic oscillator is given by v = -8.02sin(21.11t) (mks units) If the spring constant is 48 N/m, what is the spring's total mechanical energy?

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Answer #1

Given velocity is given by

Maximum value of sine function is 1, so, maximum speed of the harmonic oscillator is

Comparing with

The angular frequency is

Maximum velocity is given in terms of the amplitude (A) and the angular frequency as

The total mechanical energy of the spring-mass system is

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