1. Six identical blocks weighing 100-N are placed on a leveled table as shown in the drawing below. Determine the supporting forces on the blocks. F(so N) F (50 N) F(50 N) F (50 N) (50 N) 100 N 100 N 100 N 100 N 100 N (a) (b) (c) (d)

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### Problem Statement

**1. Six identical blocks weighing 100 N are placed on a leveled table as shown in the drawing below. Determine the supporting forces on the blocks.**

### Diagram Explanation

The diagram below features six blocks labeled (a) through (e), each weighing 100 N, subjected to different external forces (F) of 50 N applied in various directions:

- **Block (a):** 
  - **Vertical Force:** A 50 N force is applied vertically upwards.
  
- **Block (b):** 
  - **Vertical Force:** A 50 N force is applied vertically downwards.
  
- **Block (c):** 
  - **Horizontal Force:** A 50 N force is applied horizontally to the right.
  
- **Block (d):** 
  - **Inclined Force:** A 50 N force is applied at an angle, partially upwards and to the left.
  
- **Block (e):** 
  - **Inclined Force:** A 50 N force is applied at an angle, partially downwards and to the left.

### Detailed Analysis

**Block (a):**
- The block experiences a force of 50 N vertically upwards in addition to its weight (100 N) acting downwards.

**Block (b):**
- The block experiences a force of 50 N vertically downwards in addition to its weight (100 N) acting downwards.

**Block (c):**
- The block experiences a horizontal force of 50 N to the right in addition to its weight (100 N) acting downwards.

**Block (d):**
- The block experiences an inclined force of 50 N, partially upwards and to the left. The vertical and horizontal components of this force should be considered for the net effect on the block.

**Block (e):**
- The block experiences an inclined force of 50 N, partially downwards and to the left. The vertical and horizontal components of this force should be considered for the net effect on the block.

For each block, the supporting force from the table will need to counteract the net vertical forces acting on the block to keep it in equilibrium.

### Important Concepts

- **Weight:** The force due to gravity acting on the block’s mass.
- **Supporting Force:** The normal force exerted by the table to balance the other forces acting on the block.
- **Component Forces:** In cases of inclined forces, resolving the force into
Transcribed Image Text:### Problem Statement **1. Six identical blocks weighing 100 N are placed on a leveled table as shown in the drawing below. Determine the supporting forces on the blocks.** ### Diagram Explanation The diagram below features six blocks labeled (a) through (e), each weighing 100 N, subjected to different external forces (F) of 50 N applied in various directions: - **Block (a):** - **Vertical Force:** A 50 N force is applied vertically upwards. - **Block (b):** - **Vertical Force:** A 50 N force is applied vertically downwards. - **Block (c):** - **Horizontal Force:** A 50 N force is applied horizontally to the right. - **Block (d):** - **Inclined Force:** A 50 N force is applied at an angle, partially upwards and to the left. - **Block (e):** - **Inclined Force:** A 50 N force is applied at an angle, partially downwards and to the left. ### Detailed Analysis **Block (a):** - The block experiences a force of 50 N vertically upwards in addition to its weight (100 N) acting downwards. **Block (b):** - The block experiences a force of 50 N vertically downwards in addition to its weight (100 N) acting downwards. **Block (c):** - The block experiences a horizontal force of 50 N to the right in addition to its weight (100 N) acting downwards. **Block (d):** - The block experiences an inclined force of 50 N, partially upwards and to the left. The vertical and horizontal components of this force should be considered for the net effect on the block. **Block (e):** - The block experiences an inclined force of 50 N, partially downwards and to the left. The vertical and horizontal components of this force should be considered for the net effect on the block. For each block, the supporting force from the table will need to counteract the net vertical forces acting on the block to keep it in equilibrium. ### Important Concepts - **Weight:** The force due to gravity acting on the block’s mass. - **Supporting Force:** The normal force exerted by the table to balance the other forces acting on the block. - **Component Forces:** In cases of inclined forces, resolving the force into
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