In a stationary lift, a simple pendulum has a period T. How does the period change when the lift (i) moves up with (a) uniform velocity and (b) uniform acceleration and (ii) move down with (a) uniform velocity and (b) uniform acceleration.

Explanation

To solve the problem, we need to analyze how the period of a simple pendulum changes under different conditions of a lift's motion. The period \( T \) of a simple pendulum is given by the formula:

\[ T = 2\pi \sqrt{\frac{L}{g_{\text{effective}}}} \]

where \( L \) is the length of the pendulum and \( g_{\text{effective}} \) is the effective acceleration due to gravity.

...