Properties Of Simple Harmonic Motion

Classical Mechanics Level 2

Which of the following is not a characteristic of a simple harmonic motion?

Time dependence can be expressed in terms of sinusoidal function Frequency and period depend on the amplitude Amplitude is constant None of these choices

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Harshi Singh by Harshi Singh , 20, India

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2 solutions

Jonathan Yang
Feb 2, 2016

We can find a counterexample for one form of SHM to solve this problem. In this case, we can use a spring. The period T = 2 π k m T = 2\pi\sqrt{\frac{k}{m}} and the frequency f = 1 2 π m k f = \frac{1}{2\pi}\sqrt{\frac{m}{k}} both clearly do not contain A A , the amplitude.

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The answer says dependent of amplitude. Did you mean independent?

Nathan Clements - 5 years, 4 months ago

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Question is asking which is not characteristic of SHM and hence he means independent of amplitude.

Sahil Bansal - 5 years, 4 months ago
Raven Herd
Feb 1, 2017

Frequency is an inherent property of a substance

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