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Chapter 5: Problem 22

The maximum possible displacement of a vibrating body from its mean position during its motion is equal to (1) its amplitude (2) half its amplitude (3) twice its amplitude (4) its frequency

Short Answer

Expert verified
Answer: The maximum possible displacement of a vibrating body from its mean position is equal to its amplitude.

Step by step solution

01

Understand amplitude

Amplitude is the maximum displacement of a vibrating body from its mean (rest) position. It indicates the extent of the oscillation or vibration and is usually measured in meters.
02

Analyze option (1)

The maximum possible displacement is equal to the amplitude. This means that when the vibrating body reaches its maximum displacement, it is exactly at its amplitude.
03

Analyze option (2)

If the maximum possible displacement was half its amplitude, the vibrating body would never reach the full extent of its oscillation, meaning it would only move half of the expected distance from its mean position. This is incorrect.
04

Analyze option (3)

If the maximum possible displacement was twice its amplitude, the vibrating body would move twice the expected distance from its mean position. This would essentially mean the amplitude was only half of the actual maximum displacement, indicating the definition of amplitude was misinterpreted. This is incorrect.
05

Analyze option (4)

Frequency is a measure of how many oscillations or cycles a vibrating body completes in a given amount of time (usually one second). It is not related to the maximum displacement of a vibrating body from its mean position. This option is incorrect.
06

Determine the correct answer

Based on the analysis of all given options, the correct answer is option (1), as the maximum possible displacement of a vibrating body from its mean position is equal to its amplitude.

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