1.

When a force F1 acts on a particle, frequency is 6 Hz, when a force F2 acts, frequency is 8 Hz. What is the frequency when both the forces act simultaneously in the same direction?

Answer»

Let m be the mass of the particle and r be its amplitude of oscillations. Then

F1 = mrω12 = mr4π2 v2

and F2 = mr4π2 v22

When both the forces act simultaneously, on the particle, then

F = F1 + F2

or, mr4π2 v2 = mr4π2 v12 + mr4π2v22

or, v2 = v12 + v22

or, v = √{v12 + v22}

= √{62 + 82} = 10 Hz



Discussion

No Comment Found

Related InterviewSolutions