College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Newton's First Law of Motion
If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!
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Which of the following forces act on the block parallel to the incline? For each force, make sure that the algebraic form of the force is correct.

Which of the following forces act on the block parallel to the incline? For each force, make sure that the algebraic form of the force is correct. Hint: this problem will be easier if you draw separate force diagrams in your lab notebook, one for the forces parallel to the block, and another for the forces perpendicular to the block. - [ ] The friction Force: \[ F_s \leq \mu_s mg \sin \theta \] - [ ] The force of gravity: \[ F_{g,\parallel} = mg \sin \theta \] - [ ] The Normal Force: \[ N = mg \cos \theta \] - [ ] The force of gravity: \[ F_{g,\parallel} = mg \cos \theta \] - [ ] The Tension in the string: \[ T = mg \sin \theta - F_s \] - [ ] The friction Force: \[ F_s \leq \mu_s mg \cos \theta \]
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Transcribed Image Text:Which of the following forces act on the block parallel to the incline? For each force, make sure that the algebraic form of the force is correct. Hint: this problem will be easier if you draw separate force diagrams in your lab notebook, one for the forces parallel to the block, and another for the forces perpendicular to the block. - [ ] The friction Force: \[ F_s \leq \mu_s mg \sin \theta \] - [ ] The force of gravity: \[ F_{g,\parallel} = mg \sin \theta \] - [ ] The Normal Force: \[ N = mg \cos \theta \] - [ ] The force of gravity: \[ F_{g,\parallel} = mg \cos \theta \] - [ ] The Tension in the string: \[ T = mg \sin \theta - F_s \] - [ ] The friction Force: \[ F_s \leq \mu_s mg \cos \theta \]
### Inclined Plane with Block and Rope The image shows a block of mass \( m \) resting on an inclined plane. The block is held in place by a rope that runs parallel to the surface of the incline. #### Diagram Details: - **Inclined Plane**: The plane is at an angle \( \theta \) to the horizontal. This angle is marked in the diagram and is located between the inclined surface and the horizontal ground. - **Block**: The block is drawn as a rectangle on the inclined plane, and its mass is denoted by \( m \). - **Rope**: The rope is depicted as a line connecting the top of the block, running parallel to the plane, and extending in the direction up the slope. The forces acting on the block include gravitational force, the normal force exerted by the plane, and tension in the rope. This setup is commonly used to study static equilibrium and the forces on objects on inclined planes.
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Transcribed Image Text:### Inclined Plane with Block and Rope The image shows a block of mass \( m \) resting on an inclined plane. The block is held in place by a rope that runs parallel to the surface of the incline. #### Diagram Details: - **Inclined Plane**: The plane is at an angle \( \theta \) to the horizontal. This angle is marked in the diagram and is located between the inclined surface and the horizontal ground. - **Block**: The block is drawn as a rectangle on the inclined plane, and its mass is denoted by \( m \). - **Rope**: The rope is depicted as a line connecting the top of the block, running parallel to the plane, and extending in the direction up the slope. The forces acting on the block include gravitational force, the normal force exerted by the plane, and tension in the rope. This setup is commonly used to study static equilibrium and the forces on objects on inclined planes.
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