Question:medium

The force (F in newton) acting on a particle of mass 90 g executing simple harmonic motion is given by $F+0.04\pi^2y=0$, where y is displacement of the particle in meter. If the amplitude of the particle is $\frac{6}{\pi}$ m, then the maximum velocity of the particle is

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Any motion described by the equation $F = -(\text{positive constant}) \times y$ is Simple Harmonic Motion. The constant of proportionality is the spring constant $k$. From there, you can find the angular frequency $\omega = \sqrt{k/m}$ and other SHM parameters.

Updated On: Mar 30, 2026

6 ms$^{-1}$
2 ms$^{-1}$
8 ms$^{-1}$
4 ms$^{-1}$

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The Correct Option is D

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