A Pendulum Does Not Have Simple Harmonic Motion If Its $\theta$

question 18

Multiple Choice

A pendulum does not have simple harmonic motion if its angular amplitude $\theta$ ₀ is not small.For large angular amplitudes,the period is given by T = T₀[1 + (1/4) sin² $\theta$ ₀ + (3/64) sin⁴ $\theta$ ₀ + · · · ]
As the angular amplitude of the pendulum gets larger,the frequency of the pendulum

• A)does not change.
• B)increases.
• C)decreases.
• D)does whatever the period does.
• E)changes in proportion to T₀.

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