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Question: A small body of mass 0.10 kg is executing S.H.M. of amplitude 1.0 m and period 0.20 sec. The maximum...

A small body of mass 0.10 kg is executing S.H.M. of amplitude 1.0 m and period 0.20 sec. The maximum force acting on it is

A

98.596 N

B

985.96 N

C

100.2 N

D

76.23 N

Answer

98.596 N

Explanation

Solution

Maximum acceleration

Amax=aω2=a×4π2T2=1×4×(3.14)20.2×0.2A_{\max} = a\omega^{2} = \frac{a \times 4\pi^{2}}{T^{2}} = \frac{1 \times 4 \times (3.14)^{2}}{0.2 \times 0.2}

F0.1×4×(3.14)20.2×0.2maxmax{F\frac{0.1 \times 4 \times (3.14)^{2}}{0.2 \times 0.2}\max}_{\max}