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x - t equation of a particle executing S...

`x - t` equation of a particle executing SHM is
`x = Acos (omega t - 45^(@))`
Find the point from where particle starts its journey and the direction of its initial velocity.

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `x = Acos (omega t - 45^(@))`
`v = (dx)/(dt) = -omega Asin (omega t - 45^(@))`
Putting `t = 0` in both equation we have,
`x = + (A)/sqrt(2)` and `v = + (omega A)/sqrt(2)`
So, the particle starts from `x = + (A)/sqrt(2)` with velocity in positive direction.
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