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  • The equation of motion of a particle of mass 1kg is  where x is displacem

The equation of motion of a particle of mass 1kg is \frac{d^x}{dt^2}+\pi^2x=0 where x is displacement (in m) from mean position. The frquency of oscillations is (in Hz)

Option: 1

\frac{1}{2}


Option: 2

2


Option: 3

5\sqrt{10}


Option: 4

\frac{1}{5\sqrt{10}}


Answers (1)

best_answer

Differential equation of SHM is

\frac{d^x}{dt^2}+w^2t=0

w^2=\pi ^2\Rightarrow w=\pi

f=\frac{w}{2\pi}=\frac{\pi}{2\pi}=\frac{1}{2}\; \; Hz

Posted by

rishi.raj

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