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?

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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.
Transcribed Image Text: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.
Transcribed Image Text: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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