Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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**Free Body Diagram and Newton’s Third Law of Motion**

**Problem Statement:**

3. A trunk of mass \( M \) is on a ramp. A rope pulls on the trunk horizontally as shown but the trunk does not move.
   - In the box provided, draw a labeled ‘free body diagram’ (FBD) showing all the forces acting on the trunk. All the forces in the diagram should have descriptive labels giving the name of the force, for example, “T” or “\( F_T \)” for the tension. Do not label the weight as “g” – this is the acceleration due to gravity and is not a force. Label the weight as “\( F_g \)”, “W”, or “\( Mg \)”.

*Newton's 3rd law* says that all forces come in action-reaction pairs, i.e., if object A exerts a force on B, object B must exert the same force on A but in the opposite direction. Note that action-reaction pairs always must be the same type of force.

**a.** What is the reaction force corresponding to the ramp pushing into the trunk? What type of force is it? What direction is the reaction force and what object does the reaction force act on?

**b.** What is the reaction force (type, direction, and object) corresponding to the rope pulling the trunk to the right? Give type of force, the direction of the reaction force, and what object the reaction force acts on.

**c.** What is the reaction force corresponding to the Earth pulling down on the trunk?

**d.** What is the reaction force corresponding to the force that prevents the trunk from sliding?

**e.** The purpose of drawing the free body diagram is to use it when we write out Newton’s 2nd law. Why are the reaction forces not included in the free body diagram for the trunk?

---

**Explanation of the Diagram:**

The free body diagram (FBD) displays a trunk on an inclined plane with forces acting on it. The diagram includes arrows representing different forces. These forces should be labeled appropriately, e.g., \( F_g \) or \( W \) for the weight of the trunk due to gravity, \( F_T \) or "T" for the tension in the rope, and the normal force exerted by the ramp.

1. **Force of Gravity (\( F_g \))**: Acts downward, representing the
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Transcribed Image Text:**Free Body Diagram and Newton’s Third Law of Motion** **Problem Statement:** 3. A trunk of mass \( M \) is on a ramp. A rope pulls on the trunk horizontally as shown but the trunk does not move. - In the box provided, draw a labeled ‘free body diagram’ (FBD) showing all the forces acting on the trunk. All the forces in the diagram should have descriptive labels giving the name of the force, for example, “T” or “\( F_T \)” for the tension. Do not label the weight as “g” – this is the acceleration due to gravity and is not a force. Label the weight as “\( F_g \)”, “W”, or “\( Mg \)”. *Newton's 3rd law* says that all forces come in action-reaction pairs, i.e., if object A exerts a force on B, object B must exert the same force on A but in the opposite direction. Note that action-reaction pairs always must be the same type of force. **a.** What is the reaction force corresponding to the ramp pushing into the trunk? What type of force is it? What direction is the reaction force and what object does the reaction force act on? **b.** What is the reaction force (type, direction, and object) corresponding to the rope pulling the trunk to the right? Give type of force, the direction of the reaction force, and what object the reaction force acts on. **c.** What is the reaction force corresponding to the Earth pulling down on the trunk? **d.** What is the reaction force corresponding to the force that prevents the trunk from sliding? **e.** The purpose of drawing the free body diagram is to use it when we write out Newton’s 2nd law. Why are the reaction forces not included in the free body diagram for the trunk? --- **Explanation of the Diagram:** The free body diagram (FBD) displays a trunk on an inclined plane with forces acting on it. The diagram includes arrows representing different forces. These forces should be labeled appropriately, e.g., \( F_g \) or \( W \) for the weight of the trunk due to gravity, \( F_T \) or "T" for the tension in the rope, and the normal force exerted by the ramp. 1. **Force of Gravity (\( F_g \))**: Acts downward, representing the
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