SHM of simple pendulums | AP Physics | Khan Academy
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For small amplitudes of motion, the small-angle approximation can be applied to the restoring torque exerted by gravity on a simple pendulum. Therefore, the motion of a pendulum with a small angular displacement can be modeled as simple harmonic motion because the restoring torque is proportional to the angular displacement. The period of a simple pendulum is related to its length and the magnitude of the gravitational field.
Sections:
00:00 - Simple vs physical pendulums
00:44 - Analyzing forces on a simple pendulum
02:49 - Restoring torque on a simple pendulum
05:56 - Small-angle approximation reveals SHM
09:45 - Position-time graph of a simple pendulum
10:35 - Energy of a simple pendulum
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