Physical Pendulum - Period Derivation and Demonstration using Calculus

The video tutorial explores simple harmonic motion, focusing on simple and physical pendulums. It begins with a review of simple harmonic motion equations for mass-spring systems and simple pendulums. The tutorial then introduces physical pendulums, explaining their properties and deriving equations for angular frequency and period using calculus. A comparison between physical and simple pendulums is made, highlighting differences in angular frequency. The video concludes with a practical experiment using a metal rod pendulum to demonstrate the concepts and perform error analysis.

What is the condition for an object to be in simple harmonic motion?

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Define a simple pendulum.

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What assumptions are made about a physical pendulum?

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Explain the significance of the center of mass in a rigid body.

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What happens to the simple harmonic motion equations for pendulums at larger angles?

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How is the torque related to the force of gravity in a physical pendulum?

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What is the formula for the period of a physical pendulum?

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Describe the relationship between the period of a simple pendulum and a physical pendulum.

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What is the percent difference between the observed and accepted values for the rotational inertia of the physical pendulum?

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Why is it important to use unrounded numbers in calculations?

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