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AP® Physics C: Mechanics

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Moderate

Simple Pendulum Period Equation: Required Approximations

APPHMC-UQKZ2R

The equation for the period of a pendulum is:

$$T = 2\pi \sqrt { \frac { L }{ g } } $$

All of the following approximations are required to derive this equation EXCEPT

A

the mass is concentrated at the end of the string.

B

the angle of oscillation is small.

C

the string is massless.

D

the tension in the string is constant throughout the swing of the pendulum.

E

the acceleration due to gravity is constant throughout the swing of the pendulum.