Answered: A hand is pushing the block up the…

Name: The image contains three vector diagrams illustrating different confi
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Description: The image contains three vector diagrams illustrating different configurations of three forces: \(N_{\text{1S}}\), \(N_{\text{1H}}\), and \(W_{\text{1E}}\).1. **Top Diagram**: - The vectors are arranged in an L-shape. - \(N_{\text{1H}}\) is dire

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A hand is pushing the block up the inclined plane. The plane is frictionless. Notice that we have rotated the x- and y- axes. What is the correct free body diagram for this situation?

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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Concept explainers

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!

Topic Video

Question

The image contains three vector diagrams illustrating different configurations of three forces: \(N_{\text{1S}}\), \(N_{\text{1H}}\), and \(W_{\text{1E}}\).

1. **Top Diagram**:
- The vectors are arranged in an L-shape.
- \(N_{\text{1H}}\) is directed horizontally to the right.
- \(W_{\text{1E}}\) is directed vertically downward.
- \(N_{\text{1S}}\) is directed vertically upward.

2. **Middle Diagram**:
- The vectors form a Y-shape with angles between them.
- \(N_{\text{1H}}\) points horizontally to the left.
- \(W_{\text{1E}}\) is directed downward at an angle.
- \(N_{\text{1S}}\) is directed upward at an opposite angle to \(W_{\text{1E}}\).

3. **Bottom Diagram**:
- The vectors form a T-shape.
- \(N_{\text{1H}}\) points horizontally to the left.
- \(W_{\text{1E}}\) is directed horizontally to the right.
- \(N_{\text{1S}}\) is oriented vertically upward.

These diagrams might represent physical forces in equilibrium or different interaction scenarios.

A hand is pushing the block up the inclined plane. The plane is frictionless.

Notice that we have rotated the x- and y- axes.

What is the correct free body diagram for this situation?

**Diagrams Explanation:**

1. **Inclined Plane Diagram:**
- The diagram shows a block on an inclined plane with an angle θ.
- The x- and y- axes are rotated to align with the plane, where the x-axis is along the plane, and the y-axis is perpendicular to it.

2. **Free Body Diagrams (Two Examples):**
- Arrows represent different forces acting on the block.
- **First Example:**
- \( N_{1H} \): Horizontal component of the normal force.
- \( N_{1S} \): Slope component of the normal force.
- \( W_{1E} \): Weight of the block acting downward.

- **Second Example** (although not fully visible):
- Similar forces are indicated with the labels \( N_{1S} \).

These diagrams help in understanding the components of forces acting on a block on an inclined frictionless plane.

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