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If two forces of equal magnitude are applied at opposite ends of a lever arm, wh

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Question: If two forces of equal magnitude are applied at opposite ends of a lever arm, what is the net torque about the center?

Options:

  1. Zero
  2. Equal to the force
  3. Twice the force
  4. Depends on the distance

Correct Answer: Zero

Solution:

The net torque is zero because the torques produced by the two forces cancel each other out.

If two forces of equal magnitude are applied at opposite ends of a lever arm, wh

Practice Questions

Q1
If two forces of equal magnitude are applied at opposite ends of a lever arm, what is the net torque about the center?
  1. Zero
  2. Equal to the force
  3. Twice the force
  4. Depends on the distance

Questions & Step-by-Step Solutions

If two forces of equal magnitude are applied at opposite ends of a lever arm, what is the net torque about the center?
  • Step 1: Understand what torque is. Torque is a measure of how much a force acting on an object causes that object to rotate.
  • Step 2: Identify the lever arm. The lever arm is the distance from the pivot point (center) to where the force is applied.
  • Step 3: Recognize that there are two forces of equal strength applied at opposite ends of the lever arm.
  • Step 4: Determine the direction of each force. One force will cause a clockwise rotation, and the other will cause a counterclockwise rotation.
  • Step 5: Calculate the torque produced by each force. Since the forces are equal and applied at equal distances from the center, the torque from each force is the same.
  • Step 6: Add the torques together. One torque is positive (clockwise) and the other is negative (counterclockwise). They cancel each other out.
  • Step 7: Conclude that the net torque about the center is zero because the two torques balance each other.
  • Torque – Torque is the rotational equivalent of linear force, calculated as the product of force and the distance from the pivot point.
  • Equilibrium – In a system where forces are balanced, the net torque is zero, indicating rotational equilibrium.
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