Question

A metal sphere is hanging from the ceiling of a vehicle. If the vehicle is moving along the horizontal road with uniform acceleration 'a' then the suspended thread of the sphere gets inclined to the vertical at an angle 'θ'. The value of acceleration 'a' is (g = acceleration due to gravity) ______.

Options

• g

• g cos θ

• g sin θ

• g tan θ

Answer 1

A metal sphere is hanging from the ceiling of a vehicle. If the vehicle is moving along the horizontal road with uniform acceleration 'a' then the suspended thread of the sphere gets inclined to the vertical at an angle 'θ'. The value of acceleration 'a' is (g = acceleration due to gravity) g tan θ.

Explanation:

The effective acceleration due to gravity is the resultant of `overline"a"` and `overline"g"`.

`tan theta=a/g`

∴ a = g tan θ