Worksheet: The Force Exerted by a Rotating Planar Body on Its Axis of Rotation

In this worksheet, we will practice how to calculate the force that a rotating body with angular speed exerts on the axis of rotation.

Q1:

A uniform rod of length 2 𝑙 and mass 𝑚 is free to rotate in a horizontal plane about a vertical axis passing through its center. A horizontal force of constant magnitude is applied to one of the ends of the rod in a direction perpendicular to the rod causing the rod to rotate with an angular acceleration of 2 4 𝑔 𝑙 , where 𝑔 is the acceleration due to gravity. Find the magnitude of the force applied.

  • A 1 6 𝑚 𝑔
  • B 4 𝑚 𝑔
  • C 1 6 𝑚 𝑔
  • D 8 𝑚 𝑔
  • E 3 2 𝑚 𝑔

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