Question

i) Suppose that you are pushing a child on a swing, initially at rest, periodically.

(a) Draw a displacement-time graph for the resulting oscillatory motion of the

swing. (b) Is it an example of free or damped or damped forced oscillation? (3,2)

ii) The equation of motion of a particle moving along the x-axis is given by:

x t

dt

dx

dt

d x

4 8 20cos 2

2

2

  

Calculate the amplitude, period and frequency of the oscillation after a long time

has elapsed.

Answer 1

Answer:

It is a damped oscillation