Cracking the AP Physics 1 Exam 2019, Premium Edition by Princeton Review
Author:Princeton Review [Princeton Review]
Language: eng
Format: epub
Publisher: Random House Children's Books
Published: 2018-10-02T00:00:00+00:00
If the restoring force is given by mgθ, rather than mg sin θ, then the frequency and period of the oscillations depend only on the length of the pendulum and the value of the gravitational acceleration, according to the following equations:
Note that neither frequency nor the period depends on the amplitude (the maximum angular displacement, θmax); this is a characteristic feature of simple harmonic motion. Also notice that neither the frequency nor the period depends on the mass of the weight.
The same mnemonic we used for springs can be applied to pendulums. The equation for frequency goes in alphabetical order (clockwise), and the equation for period goes in reverse alphabetical order (clockwise).
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