Question

A particle of mass 1 kg is moving in SHM with an amplitude 0.02 m and a frequency of 60 Hz. The maximum force in newton acting on the particle is

• A. 188 $ \pi $ 2
• B. 144 $ \pi $ 2
• C. 288 $ \pi $ 2
• D. 12 $ {{\pi }^{2}} $

Answer 1

Answer: (C)

Maximum force $ =m{{\omega }^{2}}a $ $ =m\times 4\pi {{\nu }^{2}}a $ $ =1\times 4{{\pi }^{2}}\times {{(60)}^{2}}\times 0.02 $ $ =288\,{{\pi }^{2}} $