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# A simple pendulum is mounted in an elevator. What happens

## Problem 11DQ Chapter 14

University Physics | 13th Edition

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University Physics | 13th Edition

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Problem 11DQ

A simple pendulum is mounted in an elevator. What happens to the period of the pendulum (does it increase, decrease, or remain the same) if the elevator (a) accelerates upward at 5.0 m/s2; (b) moves upward at a steady 5.0 m/s; (c) accelerates downward at 5.0 m/s2; (d) accelerates downward at 9.8 m/s2? Justify your answers.

Step-by-Step Solution:

Solution 11DQ Step 1: a) In the first case, the elevator accelerates upward with an acceleration, a = 5 m/s So, the force acting on the bob initially, F = mg (Gravitational force) acting gravitational downward Where, m- mass of the bob g - acceleration due to gravity If the elevator accelerates upward with an acceleration, a = 5 m/s Upward force, F upward- ma (minus sign represents the opposite direction) Resultant force acting on the pendulum, F = F gravitationaupward F = mg - ma = m (g - a) So, the acceleration of the pendulum, a’ = (g-a) l So, the time period, T = 2 (ga) From the equation we can see that, the time period is increasing, since the acceleration is decreasing. Step 2: b) In the second case, the elevator moves upward with a steady speed, v = 5 m/s 2 So, the upward acceleration, aupward0 m/s Therefore, T = 2 g So, there is no change in time period if the elevator is moving in a steady speed.

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##### ISBN: 9780321675460

The full step-by-step solution to problem: 11DQ from chapter: 14 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 11DQ from 14 chapter was answered, more than 239 students have viewed the full step-by-step answer. The answer to “A simple pendulum is mounted in an elevator. What happens to the period of the pendulum (does it increase, decrease, or remain the same) if the elevator (a) accelerates upward at 5.0 m/s2; (b) moves upward at a steady 5.0 m/s; (c) accelerates downward at 5.0 m/s2; (d) accelerates downward at 9.8 m/s2? Justify your answers.” is broken down into a number of easy to follow steps, and 56 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: accelerates, Pendulum, elevator, downward, upward. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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