A pendulum is pulled to the side and released. Its subsequent motion appears as

Question

A pendulum is pulled to the side and released. Its subsequent motion appears as follows:

1. At which of the above times is the displacement zero?

2. At which of the above times is the velocity zero?

3. At which of the above times is the acceleration zero?

4. At which of the above times is the kinetic energy a maximum?

5. At which of the above times is the potential energy a maximum?

6. At which of the above times is kinetic energy being transformed to potential energy?

7. At which of the above times is potential energy being transformed to kinetic energy?

Explanation / Answer

1. C,G as the pendulum is in the centre 2. A,E,I The pendulum at its extreme is having no velocity 3. C,G At the centre no component of g is acting tangentially on the pendulum 4. C,G The pendulum is having the maximum velocity and hence maximum kinetic energy at the centre 5. A,E,I The maximum height from the ground ia at the extremes 6. D,H This is the mid path where the conversion takes place 7.B,F The points in the mid path while in opposite journey to the above one

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