### Simple Machine System for Building Monuments1. **Concept Overview**: Imagine an ancient civilization using a compound system of simple machines to construct their monuments. The system includes an inclined plane and a series of pulleys to move a heavy block weighing 1000 kg.2. **Diagram Explanation**: - **Inclined Plane**: A sloped surface where the block is placed. The mechanical advantage helps in moving the block upwards. - **Pulley System**: Two pulleys are used—P1 and P2. These pulleys assist in reducing the amount of input force needed to lift the block. - **Force Directions**: - \( F_R \) indicates the force exerted due to the block’s weight on the inclined plane. - \( F_I \) is the input force applied, depicted with an arrow pulling horizontally. - **Distance Labels**: - \( d_i \): Distance along the inclined plane. - \( d_R \): Vertical rise needed. - \( d_{I(TOTAL)} \): Total horizontal distance over which the input force acts.3. **Efficiency Parameters**: - **Inclined Plane Efficiency (\( e_0 \))**: 0.9, accounting for friction. - **Pulley Efficiencies**: - First Pulley (P1) Efficiency (\( e_1 \)): 0.8 - Second Pulley (P2) Efficiency (\( e_2 \)): 0.74. **Distances**: - \( d_R = 5 \, m \), the required vertical rise. - \( d_i = 20 \, m \), the length of the incline.This setup demonstrates how simple machines reduce the effort needed to perform work, a principle utilized in ancient engineering feats. 3.) Assuming that the resistance distance for the total system is just the vertical displacement of the block \(d_R\), and the input distance for the total system is the distance the team of horses must pull \((d_{i(TOTAL)})\),a. How far must the horses pull \((d_{i(TOTAL)})\) in order to raise the block the required 5 meters?b. How much work is done by the horses?

Two compound pulleys are given with efficiency e1 = 0.8 and e2 = 0.7 efficiecny of slope, e0 = 0.9…

1.) Assume that some ancient civilization built their monuments with a compound system of simple machines. Given a system like this: P2 P1 1000 kg di dr FR di (TOTAL) If the efficiency of the incline plane (due to friction) is e, = 0.9, the efficiency of the first pulley (P1) is e = 0.8, the second pulley (P2) is ez = 0.7 dr = 5 m, and di = 20 m,

1.) Assume that some ancient civilization built their monuments with a compound system of simple machines. Given a system like this: P2 P1 1000 kg di dr FR di (TOTAL) If the efficiency of the incline plane (due to friction) is e, = 0.9, the efficiency of the first pulley (P1) is e = 0.8, the second pulley (P2) is ez = 0.7 dr = 5 m, and di = 20 m,

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Section: Chapter Questions

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Question

### Simple Machine System for Building Monuments

1. **Concept Overview**: Imagine an ancient civilization using a compound system of simple machines to construct their monuments. The system includes an inclined plane and a series of pulleys to move a heavy block weighing 1000 kg.

2. **Diagram Explanation**:
- **Inclined Plane**: A sloped surface where the block is placed. The mechanical advantage helps in moving the block upwards.
- **Pulley System**: Two pulleys are used—P1 and P2. These pulleys assist in reducing the amount of input force needed to lift the block.
- **Force Directions**:
- \( F_R \) indicates the force exerted due to the block’s weight on the inclined plane.
- \( F_I \) is the input force applied, depicted with an arrow pulling horizontally.
- **Distance Labels**:
- \( d_i \): Distance along the inclined plane.
- \( d_R \): Vertical rise needed.
- \( d_{I(TOTAL)} \): Total horizontal distance over which the input force acts.

3. **Efficiency Parameters**:
- **Inclined Plane Efficiency (\( e_0 \))**: 0.9, accounting for friction.
- **Pulley Efficiencies**:
- First Pulley (P1) Efficiency (\( e_1 \)): 0.8
- Second Pulley (P2) Efficiency (\( e_2 \)): 0.7

4. **Distances**:
- \( d_R = 5 \, m \), the required vertical rise.
- \( d_i = 20 \, m \), the length of the incline.

This setup demonstrates how simple machines reduce the effort needed to perform work, a principle utilized in ancient engineering feats.

3.) Assuming that the resistance distance for the total system is just the vertical displacement of the block \(d_R\), and the input distance for the total system is the distance the team of horses must pull \((d_{i(TOTAL)})\),

a. How far must the horses pull \((d_{i(TOTAL)})\) in order to raise the block the required 5 meters?

b. How much work is done by the horses?

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