Derivation of Pendulum equations method 2

Derivation of Pendulum equations method 2

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Physics, Science

University

Hard

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The video tutorial explains how to calculate the equations of motion for a pendulum using rotational kinetic energy. It begins by introducing the pendulum system and the assumptions made, such as neglecting friction and considering the mass of the cord as zero. The tutorial then delves into the concepts of mechanical energy, rotational kinetic energy, and moment of inertia. Using trigonometry and calculus, the instructor derives the equation of motion, ultimately showing that the angular acceleration is proportional to the negative sine of the angle. The video concludes by summarizing the approach and confirming that the same result can be obtained by considering linear velocity.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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