Q. 14.25 A mass attached to a spring is free to oscillate, with angular velocity , in a horizontal plane without friction or damping. It is pulled to distance
and pushed towards the centre with a velocity
at time
Determine the amplitude of the resulting oscillations in terms of the parameters
,
and
. [Hint : Start with the equation
and note that the initial velocity is negative.]
At the maximum extension of spring, the entire energy of the system would be stored as the potential energy of the spring.
Let the amplitude be A
The angular frequency of a spring-mass system is always equal to
Therefore