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10.0 N 30.0 12.0 N ,9.00 N

10.0 N 30.0 12.0 N ,9.00 N

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Calculate the net torque on the wheel shown below due to the forces acting on it. Assume also that a frictional force of 0.200 N m opposes the motion. In the figure, a = 10.0 cm and b = 20.0 cm. Use 'N*m' for your units.

The diagram depicts a circular disk subjected to three forces at different points and angles. The forces are denoted in Newtons (N). The circular disk has: - A center labeled "O." - An inner circle with radius "a" and an outer circle with radius "b." - Three forces acting on the outer edge of the disk. ### Forces Acting on the Disk: 1. **Force A**: - Magnitude: 10.0 N - Direction: Horizontally to the right (0 degrees with the horizontal axis) 2. **Force B**: - Magnitude: 12.0 N - Direction: 30.0 degrees below the horizontal axis 3. **Force C**: - Magnitude: 9.00 N - Direction: Vertically downward (90 degrees with the horizontal axis) These forces are applied at specific points along the perimeter of the disk designated by the respective radii “a” for the inner circle and “b” for the outer circle. ### Detailed Analysis: - **Force at angle \( \theta = 0^\circ \) (rightward direction)** - Force magnitude: 10.0 N - **Force at angle \( \theta = 90^\circ \) downwards** - Force magnitude: 9.00 N - **Force at an angle of \( \theta = 30^\circ \) below the horizontal (downward left)** - Force magnitude: 12.0 N Understanding the direction and magnitude of these forces is essential for analyzing the torque and equilibrium of forces acting on the disk. The diagram effectively illustrates the physical quantities necessary for solving problems related to rotational dynamics, static equilibrium, and force vector components.
Transcribed Image Text:The diagram depicts a circular disk subjected to three forces at different points and angles. The forces are denoted in Newtons (N). The circular disk has: - A center labeled "O." - An inner circle with radius "a" and an outer circle with radius "b." - Three forces acting on the outer edge of the disk. ### Forces Acting on the Disk: 1. **Force A**: - Magnitude: 10.0 N - Direction: Horizontally to the right (0 degrees with the horizontal axis) 2. **Force B**: - Magnitude: 12.0 N - Direction: 30.0 degrees below the horizontal axis 3. **Force C**: - Magnitude: 9.00 N - Direction: Vertically downward (90 degrees with the horizontal axis) These forces are applied at specific points along the perimeter of the disk designated by the respective radii “a” for the inner circle and “b” for the outer circle. ### Detailed Analysis: - **Force at angle \( \theta = 0^\circ \) (rightward direction)** - Force magnitude: 10.0 N - **Force at angle \( \theta = 90^\circ \) downwards** - Force magnitude: 9.00 N - **Force at an angle of \( \theta = 30^\circ \) below the horizontal (downward left)** - Force magnitude: 12.0 N Understanding the direction and magnitude of these forces is essential for analyzing the torque and equilibrium of forces acting on the disk. The diagram effectively illustrates the physical quantities necessary for solving problems related to rotational dynamics, static equilibrium, and force vector components.
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