Question

A vertical spring oscillates with period of 6 s with mass 'm' suspended from it. When the mass is at rest, the spring is stretched through a distance of ______.

(Take g = π²)

Options

• 5 cm

• 7 cm

• 9 cm

• 3 cm

Answer 1

A vertical spring oscillates with period of 6 s with mass 'm' suspended from it. When the mass is at rest, the spring is stretched through a distance of 9 cm.

Explanation:

T = 6 s `=(2pi)/omega=2pisqrt(l/g)`

`thereforeomega=sqrt(g/l)`

`thereforeomega=(2pi)/6=pi/3`

`omega^2=g/l=pi^2/9`

`l=(9g)/pi^2=(9pi^2)/pi^2=9  "cm"`