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Question
State the laws of the simple pendulum?
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Solution
- Law of length: For a given value of acceleration due to gravity, the time period of a simple pendulum is directly proportional to the square root of the length of the pendulum.
`"T" ∝ sqrt"l"` - Law of acceleration: For a fixed length, the time period of a simple pendulum is inversely proportional to the square root of acceleration due to gravity.
`"T" ∝ 1/sqrt"g"` - The period of a simple pendulum is independent of its mass.
- A simple pendulum's period is independent of its amplitude (for small amplitudes).
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