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When the amplitude of a simple pendulum increases, should

Chapter 14, Problem 14DQ

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QUESTION:

When the amplitude of a simple pendulum increases, should its period increase or decrease? Give a qualitative argument; do not rely on Eq. (14.35). Is your argument also valid for a physical pendulum?

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QUESTION:

When the amplitude of a simple pendulum increases, should its period increase or decrease? Give a qualitative argument; do not rely on Eq. (14.35). Is your argument also valid for a physical pendulum?

ANSWER:

Solution 14DQ Step 1: Introduction In this question , we need to explain if the amplitude of simple pendulum increases should period increase or decrease In a simple pendulum which can be modeled as point mass at the end of a string of negligible mass and certain length The amplitude is small , when the amplitude is small, it does not affect the period of the pendulum The period of the pendulum is given by T = 2 × L/g For small amplitudes the period of the simple pendulum is not affected

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