A mass m is pulled up a frictionless incline at angle theta by rope with tension T, at an angle ø above the incline. What is the acceleration of the mass up the incline?
A mass m is pulled up a frictionless incline at angle theta by rope with tension T, at an angle ø above the incline. What is the acceleration of the mass up the incline?
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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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A mass m is pulled up a frictionless incline at angle theta by rope with tension T, at an angle ø above the incline. What is the acceleration of the mass up the incline?
Transcribed Image Text:**Inclined Plane with Applied Force and Orientation Angles**
In the depicted diagram, a rectangular block is positioned on an inclined plane. Below, we describe the elements and angles represented in the image:
1. **Inclined Plane (θ)**:
- The gray slope represents an inclined plane that forms an angle **θ** with the horizontal ground. The angle θ denotes the steepness of the incline.
2. **Rectangular Block**:
- A blue rectangular block is placed on the inclined plane. This block serves as the object under consideration for this scenario.
3. **Applied Force (Arrow)**:
- An arrow, pointing parallel to the inclined plane, indicates the direction of an applied force acting on the block. This force is essential for analyzing the motion or equilibrium of the block on the incline.
4. **Orientation Angle (φ)**:
- The angle **φ** is formed between a line perpendicular to the surface of the inclined plane and the direction of the applied force. This angle represents the orientation of the applied force relative to the inclined plane.
In mechanics, analyzing the forces acting on objects on inclined planes involves resolving the forces into components parallel and perpendicular to the plane's surface. This diagram visually presents the scenario where an external force (denoted by the arrow) is applied to the block at an angle φ, influencing the block's motion or static equilibrium on the inclined surface with inclination angle θ.
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