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Learning Introductory Physics with Activities

Section 12.5 Practice - Torque

Subsection Numerical Practice

Calculation 12.5.1. Torque.

A force is applied on a lever arm \(1 \mathrm{~m}\) away from the pivot point, and it produces torque. How much force would have to be applied to produce the same amount of torque if it were applied \(4 \mathrm{~m}\) from the pivot point? Assume that both forces are applied perpendicularly to the lever arm.
  1. Four times the initial force
  2. Sixteen times the initial force
  3. One fourth of the initial force
  4. One sixteenth of the initial force
  5. Same as the initial force

Calculation 12.5.2. See-Saw.

Two children of different weights are riding a seesaw. How do they position themselves with respect to the pivot point (the fulcrum) so that they are balanced?
  1. The heavier child sits closer to the fulcrum.
  2. The heavier child sits farther from the fulcrum.
  3. Both children sit at equal distance from the fulcrum.
  4. Since both have different weights, they will never be in balance.

Calculation 12.5.3. Angular Acceleration.

A uniform, solid disk with a mass of \(24.3 \mathrm{~kg}\) and a radius of \(0.314 \mathrm{~m}\) is oriented vertically and is free to rotate about a frictionless axle. Forces of \(90 \mathrm{~N}\) and \(125 \mathrm{~N}\) are applied to the disk in the same horizontal direction, but one force is applied to the top and the other is applied to the bottom. What is the magnitude of the angular acceleration of the disk?
Answer.
\(9.17 \mathrm{~rad/s^2}\)

References References

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Numerical practice activities provided by BoxSand: https://boxsand.physics.oregonstate.edu/welcome.