Question

Set up an equation of motion and write the nature of motion for a particle of 5 kg mass which is
moving along a straight line under the influence of two forces (i) attraction force FA towards
origin where FA is numerically equal to 40 times the instantaneous distance from the origin (ii) a
damping force proportional to the instantaneous speed such that when the speed is 10 m/s, the
damping force is 200 N.
Also find out the general expression for displacement as a function of time by assuming that
initially at t=0, the displacement x = 20 m and velocity v=0.
Further find out the amplitude, time period and frequency of damped oscillation.​

Answer 1

Answer:

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