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2 years ago

12

14. If the spring constant of a simple harmonic oscillator is doubled, by what factor will the mass of the system need to change

in order for the frequency of the motion to remain the same?

1 answer:

klio [65]2 years ago

8 0

Lets se

And

$\\ \rm\Rrightarrow T=2\pi\sqrt{\dfrac{m}{k}}$

$\\ \rm\Rrightarrow \sqrt{k}T=2\pi\sqrt{m}$

So

$\\ \rm\Rrightarrow k\propto m$

If spring constant is doubled mass must be doubled

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