The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.6 cm and a mass of 19 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.2 s the disk has an angular velocity of 240 rad/s counterclockwise. Force F₁ has a magnitude of 0.103 N. What is magnitude F2?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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The image presents a physics problem involving a uniform disk that rotates around its center similar to a merry-go-round. The disk has a radius of 1.6 cm, a mass of 19 grams, and it starts from rest. At time \( t = 0 \), two forces are applied tangentially to the rim. By time \( t = 1.2 \, \text{s} \), the disk achieves an angular velocity of 240 rad/s in a counterclockwise direction. One of the forces, \( \mathbf{F}_1 \), has a magnitude of 0.103 N. The task is to determine the magnitude of the second force, \( \mathbf{F}_2 \).

The accompanying diagram illustrates the disk with two arrows labeled \( \mathbf{F}_1 \) and \( \mathbf{F}_2 \) pointing tangentially in opposite directions on the rim of the disk, indicating the application of the forces. The direction of the rotation is counterclockwise as indicated by an arrow around the disk. The sketch visually supports the information given in the problem description.
Transcribed Image Text:The image presents a physics problem involving a uniform disk that rotates around its center similar to a merry-go-round. The disk has a radius of 1.6 cm, a mass of 19 grams, and it starts from rest. At time \( t = 0 \), two forces are applied tangentially to the rim. By time \( t = 1.2 \, \text{s} \), the disk achieves an angular velocity of 240 rad/s in a counterclockwise direction. One of the forces, \( \mathbf{F}_1 \), has a magnitude of 0.103 N. The task is to determine the magnitude of the second force, \( \mathbf{F}_2 \). The accompanying diagram illustrates the disk with two arrows labeled \( \mathbf{F}_1 \) and \( \mathbf{F}_2 \) pointing tangentially in opposite directions on the rim of the disk, indicating the application of the forces. The direction of the rotation is counterclockwise as indicated by an arrow around the disk. The sketch visually supports the information given in the problem description.
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