First slide

Applications of SHM

Question

To make the frequency double of a spring oscillator, we have to

Moderate

A

Reduce the mass to one fourth
B

Quardruple the mass
C

Double of mass
D

Half of the mass

Solution

$n \propto \sqrt{\frac{k}{m}} \frac{n_{2}}{n_{1}} = \sqrt{\frac{m_{1}}{m_{2}}} \frac{m_{1}}{m_{2}} = {(\frac{n_{2}}{n_{1}})}^{2} = {(\frac{2 n_{1}}{n_{1}})}^{2} = 4 m_{2} = \frac{m_{1}}{4}$

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