First slide

Simple harmonic motion

Question

To make the frequency double of an oscillator, we have to

Moderate

A

Double the mass
B

Half the mass
C

Quadruple the mass
D

Reduce the mass to one-fourth

Solution

$ω = \sqrt{\frac{k}{m}} \Rightarrow \frac{ω_{2}}{ω_{1}}$ $= \sqrt{\frac{m_{1}}{m_{2}}} \Rightarrow 2 = \sqrt{\frac{m_{1}}{m_{2}}} \Rightarrow m_{2} = \frac{m_{1}}{4}$

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