A uniform solid disk is mounted on an axle in such a way that it is free to rotate about a horizontal axis. The radius of the disk is 0.45 0 m and its mass is 25.5 kg. shown in the diagram, two forces F, = 80.0 N and F, = 125 N applied to the disk sets the disk rotating with a constant angular acceleration. Assume the axle is frictionless. (a) Calculate the magnitude and direction of the net torque produced by the two forces. magnitude N. m

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Chapter1: Units, Trigonometry. And Vectors
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A uniform solid disk is mounted on an axle in such a way that it is free to rotate about a horizontal axis. The radius of the disk is 0.450 m and its mass is 25.5 kg. As shown in the diagram, two forces \( F_1 = 80.0 \, \text{N} \) and \( F_2 = 125 \, \text{N} \) are applied to the disk, causing it to rotate with a constant angular acceleration. Assume the axle is frictionless.

### Diagram Explanation:
The diagram shows a disk mounted on a horizontal axle. Two forces, \( F_1 \) and \( F_2 \), are applied tangentially to the edge of the disk. \( F_1 \) points to the right at the bottom of the disk, and \( F_2 \) points to the right at the top of the disk.

### Questions:

(a) Calculate the magnitude and direction of the net torque produced by the two forces.
- **Magnitude:** \(\_ \_ \_ \_\) N·m
- **Direction:** Clockwise

(b) Determine the magnitude of the angular acceleration of the disk.
- **Angular Acceleration:** \(\_ \_ \_ \_\) rad/s²
Transcribed Image Text:A uniform solid disk is mounted on an axle in such a way that it is free to rotate about a horizontal axis. The radius of the disk is 0.450 m and its mass is 25.5 kg. As shown in the diagram, two forces \( F_1 = 80.0 \, \text{N} \) and \( F_2 = 125 \, \text{N} \) are applied to the disk, causing it to rotate with a constant angular acceleration. Assume the axle is frictionless. ### Diagram Explanation: The diagram shows a disk mounted on a horizontal axle. Two forces, \( F_1 \) and \( F_2 \), are applied tangentially to the edge of the disk. \( F_1 \) points to the right at the bottom of the disk, and \( F_2 \) points to the right at the top of the disk. ### Questions: (a) Calculate the magnitude and direction of the net torque produced by the two forces. - **Magnitude:** \(\_ \_ \_ \_\) N·m - **Direction:** Clockwise (b) Determine the magnitude of the angular acceleration of the disk. - **Angular Acceleration:** \(\_ \_ \_ \_\) rad/s²
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