A particle of mass $10$ grams is executing simple harmonic motion with an amplitude of $0.5\, m$ and periodic time of $(\pi /5)$ seconds. The maximum value of the force acting on the particle is ... $N$
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(d) Maximum force $ = m(a{\omega ^2}) = ma\left( {\frac{{4{\pi ^2}}}{{{T^2}}}} \right)$
$ = 0.5\,\left( {\frac{{4{\pi ^2}}}{{{\pi ^2}/25}}} \right) \times 0.01 = 0.5N$
$ = 0.5\,\left( {\frac{{4{\pi ^2}}}{{{\pi ^2}/25}}} \right) \times 0.01 = 0.5N$
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