A small body of mass 0.1 kg is undergoing S.H.M. of amplitude 1 metre and period 0.2 s. The maximum force acting on it is nearly :

Options

A. 99 N
B. 9.9 N
C. 0.99 N
D. 990 N

Answer

A

Explanation

`a_("max")=omega^(2)r=(4pi^(2))/(T^(2)).r`
`:. F_("max")=ma_("max")=(4pi^(2)mr)/(T^(2))=(4pi^(2)xx0.1xx1)/((0.2)^(2))`
= 99 N approx.
Thus correct choice is (a).