Question

The displacement of a particle performing S.H.M. is given by x = 10 sin (`omega"t"+ alpha`) metre. If the displacement of the particle is 5 m, then the phase of S.H.M. is ____________.

Options

• `pi/6 "radian"`

• `pi/4 "radian"`

• `pi/3 "radian"`

• `pi/2 "radian"`

Answer 1

The displacement of a particle performing S.H.M. is given by x = 10 sin (`omega"t"+ alpha`) metre. If the displacement of the particle is 5 m, then the phase of S.H.M. is `pi/6 "radian"`.

Explanation:

`"x" = 5 = 10  "sin"(omega"t" + alpha)`

`Rightarrow 1/2 = "sin" (omega"t" + alpha)`

`therefore "sin"  (omega"t" + alpha) = "sin" pi/6`

`Rightarrow omega"t" + alpha`

` = pi/6 "radian"`