A simple pendulum is suspended from the ceiling of an elevator.The elevator is accelerating upwards with acceleration a.The period of this pendulum, in terms of its length L, g and a is:

Question

Quizplus · Accepted Answer

The period of a simple pendulum is given by T = 2π√(l/g). In this case, since the elevator is accelerating upwards, the effective acceleration experienced by the pendulum is (g + a). Thus, the period of the pendulum can be written as T = 2π√(l/(g+a)). Simplifying this expression, we get T = 2π√(l/((g+a)(g+a)/(g-a))). Canceling out the factors of (g+a) in the denominator, we get T = 2π√(l/(g-a)). Therefore, the correct option is B.

A Simple Pendulum Is Suspended from the Ceiling of an Elevator.The