An object of mass m = 0.2 kg is hung from a spring whose spring constant is 80 N/m. The body is subjected to a resistive force given by –bv, where v is the velocity and b = 4 N.s/m. Set up the differential equation of motion for free oscillations of the system, and find the period of such oscillations. The object is then subjected to an additional sinusoidal force given by F0sin(wt) where F0 = 2N and w = 30 rad/s. In steady state, what is the amplitude of the forced oscillations

icon
Related questions
Question

 

An object of mass m = 0.2 kg is hung from a spring whose spring constant is 80 N/m. The body is subjected to a resistive force given by –bv, where v is the velocity and b = 4 N.s/m.

  1. Set up the differential equation of motion for free oscillations of the system, and find the period of such oscillations.
  2. The object is then subjected to an additional sinusoidal force given by F0sin(wt) where F0 = 2N and w = 30 rad/s. In steady state, what is the amplitude of the forced oscillations?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions