A simple pendulum of length is suspended through the ceiling of an elevator. Find the time period of small oscillations if the elevator (a) is going up with an acceleration a 0 (b) is going down with an acceleration a 0 and (c) is moving with a uniform velocity.

Question

Philoid · Accepted Answer

(a)

(b)

(c)

(a) we know that time period

but when the system is accelerating the ‘g’ value should be replaced by net acceleration.

-----→ (1)

When car accelerates with acceleration , net acceleration on the bob will be

-----→ (2)

From eqn (1) & (2)

A simple pendulum of length is suspended through the ceiling of an elevator. Find the time period of small oscillations if the elevator (a) is going up with an acceleration a0 (b) is going down with an acceleration a0 and (c) is moving with a uniform velocity.

A simple pendulum of length is suspended through the ceiling of an elevator. Find the time period of small oscillations if the elevator (a) is going up with an acceleration a₀ (b) is going down with an acceleration a₀ and (c) is moving with a uniform velocity.