#### Question

How could you double the maximum speed of a simple harmonic oscillator (SHO)?

#### Solutions

VerifiedSolution A

Solution B

#### Step 1

1 of 3$\textbf{{{Solution}}}$

#### Step 1

1 of 2The peak velocity of an object in a simple harmonic oscillator can be expressed in terms of the spring constant, mass, and amplitude written as,

$\begin{aligned} v_{peak}&=A\sqrt{\dfrac{k}{m}} \end{aligned}$

Since $k$ is a constant, we cannot change it. Hence, we only have two options left in order to achieve a double peak velocity $-$ doubling the amplitude or dividing mass by 4.

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