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Question

A pendulum with bob of mass m is oscillating on either side from its resting position A between the extremes B and C at a vertical height h above A.What is the kinetic energy K and potential energy U when the pendulum is at positions (i) A,(ii) B, and (iii) C?

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Solution

Let A be the reference reference position.

The kinetic energy would be KE=1 half m v squared

,where m is the mass of the pendulum, and v is the speed of the pendulum. (At point A)

At its highest point (Point B and C )
the pendulum is momentarily motionless. All of the energy in the pendulumis gravitational potential energy and there is no kinetic energy. Hence E=mgH


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