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The period P of a simple pendulum is the...

The period P of a simple pendulum is the time for one complete swing. How does P depend on the mass m of the bob, the length l of the string, and the acceleration due to gravity g?

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To find how the period \( P \) of a simple pendulum depends on the mass \( m \) of the bob, the length \( l \) of the string, and the acceleration due to gravity \( g \), we can use dimensional analysis. Here’s a step-by-step solution: ### Step 1: Identify the Variables We have three variables that we need to consider: - Mass of the bob: \( m \) - Length of the string: \( l \) - Acceleration due to gravity: \( g \) ...
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