Maximizing Speed in Simple Harmonic Motion | SHM Homework Solution

AI Thread Summary
To double the maximum speed of simple harmonic motion (SHM), one can increase the amplitude (A) by a factor of two while keeping the spring constant (k) and mass (m) constant. The maximum speed is calculated using the formula v_max = sqrt{k/m}A. Since maximum speed occurs at the equilibrium point, doubling the amplitude directly results in doubling the maximum speed. This approach effectively demonstrates the relationship between amplitude and speed in SHM.
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Homework Statement



How could you double the maximum speed of a SHO?

Homework Equations



v_max = sqrt{k/m}A

The Attempt at a Solution



The speed is at its maximum when it's period is complete and is passing through its equilibrium point. k and m can be kept at the same. BUt if we double the value of A, then v_max should also be doubled as well.

Is this right?
 
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You are correct--double the amplitude and you double the max speed.
 

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