The following diagram shows a pendulum at different positions. Which one of the following statement is true?

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CDS General Knowledge 3 Sep 2023 Official Paper
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  1. The pendulum has minimum potential energy at positions P and T.
  2. The pendulum has minimum potential energy at positions Q and S.
  3. The pendulum has minimum potential energy at position R.
  4. The pendulum has same potential energy at all positions.

Answer (Detailed Solution Below)

Option 3 : The pendulum has minimum potential energy at position R.
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The correct answer is The pendulum has minimum potential energy at position R.

Key Points

  • Simple Pendulum:
    • A simple pendulum consists of a small metallic ball or a piece of stone suspended from a rigid stand by a thread.
    • The metallic ball is termed as bob.
    • A pendulum swings from one extreme position to another and comes back to the same position, this completes one oscillation.
    • The pendulum is said to be at maximum displacement when it is at an extreme position.
    • One oscillation can also be defined as the pendulum starting from the mean position, going to one extreme, and coming back to the same mean position.
    • The time period for an oscillation to compete is called the time period and the inverse of the time period is the frequency.
  • So, Potential energy is maximum at maximum displacement position or extreme positions P and T.
  • Kinetic energy is minimum at the equilibrium position. The equilibrium position is the mean position.
  • The pendulum has minimum potential energy at position R.
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