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*Question:* A block attached to a spring executes simple harmonic motion
in a horizontal plane with an amplitude of . At a point
away from the equilibrium position, the velocity of the block is
.
What is the period of oscillation of the block?
*Answer:* The equation of simple harmonic motion is

where is the displacement, and is the amplitude. We are told that
.
The velocity of the block is obtained by taking the time derivative of the above expression:

We are told that at (say),
and
.
Hence,

The first equation gives
. The
second equation yields

Hence, the period of the motion is

** Next:** Worked example 11.3: Block
** Up:** Oscillatory motion
** Previous:** Worked example 11.1: Piston
Richard Fitzpatrick
2006-02-02