Question

A simple pendulum of length l (m) suspended from a roof of a car which moves in a horizontal direction with an acceleration a(m/s2). Write the expression of its time period oscillations

Answer 1

Explanation:

We are given that the simple pendulum of length l is hanging from the roof of a vehicle which is moving down the frictionless inclined plane.

So, its acceleration is gsinθ. Since vehicle is accelerating a pseudo force m(gsinθ) will act on bob of pendulum which cancel the sinθ component of weight of the bob.

Hence we can say that the effective acceleration would be equal to g. eff =gcosα

Now the time period of oscillation is given by

(see attachment)

Hope it helps!!