Question

A particle having mass 1kg is executing S.H.M. with an amplitude of 0.01m and a frequency of 60hz. The maximum force acting on this particle is ……… N 

(A) 144π² 

(B) 288π² 

(C) 188π² 

(D) None of these.

Answer 1

The correct option (A) 144π²   

Explanation:

given: m = 1kg

A = 0.01m

f = 60Hz

As F = ma

F_max  = na_max

∴ F_max = m ∙ Aω²

= 1 × 0.01 × (2π × 60)²

= 0.01 × 4π² × 3600

= 144π²