Consider a simple harmonic motion of time period T. Calculate the time taken for the displacement to change value from half the amplitude to the amplitude.

Question

Philoid · Accepted Answer

T/6

Since, the motion is a simple Harmonic.

Its equation will be given by the equation,

Now, for the first half journey,

we will get,

Φ = 0,

In initial phase,

∴

For second Journey, from A/2 to A,

Time taken from A/2 to

Now,

∴

=T/6.