Statement I: A small body of mass 0.1 kg is undergoing SHM of amplitude 1.0 m and period 0.2 s. The maximum value of the force acting on it is 98.7 N.
Statement II: Maximum force acting on it is given by F = ${mω}^{2} r$ .

Moderate

A

If both statement I and statement II are true and statement II is the correct explanation of statement I.
B

If both statement I and statement II are true but statement II is not the correct explanation of statement I.
C

If statement I is true but statement II is false
D

If both statement I and statement II are false

Solution

The maximum force is given by
$F = {mω}^{2} r$
= $m \times {(\frac{2 π}{T})}^{2} \times r$
= 0.1 $(\frac{2 π}{0.2}) \times 1.0$
= $0.1 \times {(10 π)}^{2} = 98.7 N$

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