A pendulum swings with a small amplitude. The restoring force acting on the pend

Practice Questions

Q1
A pendulum swings with a small amplitude. The restoring force acting on the pendulum is proportional to which of the following?
  1. Displacement from equilibrium
  2. Velocity
  3. Acceleration
  4. Mass

Questions & Step-by-Step Solutions

A pendulum swings with a small amplitude. The restoring force acting on the pendulum is proportional to which of the following?
  • Step 1: Understand what a pendulum is. A pendulum is a weight attached to a string that swings back and forth.
  • Step 2: Learn about the equilibrium position. This is the position where the pendulum would hang straight down and not move.
  • Step 3: Know what restoring force means. The restoring force is the force that pulls the pendulum back towards the equilibrium position when it is displaced.
  • Step 4: Recognize that in simple harmonic motion, the restoring force depends on how far the pendulum is from the equilibrium position.
  • Step 5: Conclude that the restoring force is proportional to the displacement from the equilibrium position. This means if the pendulum is pulled further away, the restoring force becomes stronger.
  • Simple Harmonic Motion – In simple harmonic motion, the restoring force is directly proportional to the displacement from the equilibrium position and acts in the opposite direction.
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