Question

A body oscillates with SHM according to the equation x = 5 cos `(2π"t" + π/4)`. Its instantaneous displacement at t = 1 sec is:

Options

• `sqrt2/5`

• `1/sqrt3`

• `1/sqrt2`

• `5/sqrt2`

Answer 1

`5/sqrt2`

Explanation:

For instantaneous displacement put t = 1

x = 1

x = `5 cos [2π + π/4]`

= `5 cos  π/4`

= `5/sqrt2`