### Mechanics Problem - Wheel & Friction**Problem Statement:**The weight of the wheel is 100 Newtons (with mass uniformly distributed). The static coefficient of friction between the wheel and the surface is \( \mu_s = 0.35 \). A couple-moment, \( M \), is applied to the wheel in the direction shown.#### Part One:- **Task:** Draw the Free Body Diagram (FBD) of the wheel. - *Alternatively:* You may draw the FBD of the wheel/link-AB as a single, combined object. - *Note:* You may NOT use the given existing figure. - *Hint:* Taken in isolation, the link-AB is a two-force member.#### Part Two:- **Task:** Write the equations of equilibrium, and at the point of impending motion (slipping), calculate: 1. **Minimum Applied Couple \( M_{min} \):** The minimum applied couple \( M_{min} \) that is required to initiate slipping (in Newton-meters). 2. **Maximum Friction Force \( F_{max} \):** The maximum friction force \( F_{max} \) (in Newtons). 3. **Normal Force \( N \):** The normal force \( N \) (in Newtons) of the surface on the wheel. 4. **Force of the Link-AB on the Wheel \( F_{AB} \):** The force of the link-AB on the wheel \( F_{AB} \) (in Newtons).**Diagram Explanation:**- The diagram illustrates a wheel on a surface, showing: - The couple-moment \( M \) applied to the wheel. - The wheel with a radius of 150 mm. - A link-AB connected to the wheel at point B, with the length of AB being 250 mm.This problem requires an understanding of equilibrium equations, friction, and forces acting on the wheel and the link AB. The Free Body Diagram (FBD) is essential for visualizing and solving for the forces and moments acting upon the system.

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The weight of the wheel is 100 Newtons (with mass uniformly distributed). The static coefficient of friction between the wheel and the surface is ls = 0.35. A couple-moment, M, is applied to the wheel in the direction shown. Part One: Draw the FBD of the wheel. (Alternatively, you may draw the FBD of the wheel/link- AB as a single, combined object.) You may NOT use the given existing figure. (Hint: Taken in isolation, the link-AB is a two-force member.) Part Two: Write the equations of equilibrium, and at the point of impending motion (slipping), calculate: a) The minimum applied couple Mmin that is required to initiate slipping (in Newton-meters) b) The maximum friction force, Fmax (in Newtons). c) The normal force, N (in Newtons) of the surface on the wheel (in Newtons). d) The force of the link-AB on the wheel, FAB (in Newtons). B 150 mm 250 mm А ´M

The weight of the wheel is 100 Newtons (with mass uniformly distributed). The static coefficient of friction between the wheel and the surface is ls = 0.35. A couple-moment, M, is applied to the wheel in the direction shown. Part One: Draw the FBD of the wheel. (Alternatively, you may draw the FBD of the wheel/link- AB as a single, combined object.) You may NOT use the given existing figure. (Hint: Taken in isolation, the link-AB is a two-force member.) Part Two: Write the equations of equilibrium, and at the point of impending motion (slipping), calculate: a) The minimum applied couple Mmin that is required to initiate slipping (in Newton-meters) b) The maximum friction force, Fmax (in Newtons). c) The normal force, N (in Newtons) of the surface on the wheel (in Newtons). d) The force of the link-AB on the wheel, FAB (in Newtons). B 150 mm 250 mm А ´M

Elements Of Electromagnetics

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Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Question

### Mechanics Problem - Wheel & Friction

**Problem Statement:**
The weight of the wheel is 100 Newtons (with mass uniformly distributed). The static coefficient of friction between the wheel and the surface is \( \mu_s = 0.35 \). A couple-moment, \( M \), is applied to the wheel in the direction shown.

#### Part One:
- **Task:** Draw the Free Body Diagram (FBD) of the wheel.
- *Alternatively:* You may draw the FBD of the wheel/link-AB as a single, combined object.
- *Note:* You may NOT use the given existing figure.
- *Hint:* Taken in isolation, the link-AB is a two-force member.

#### Part Two:
- **Task:** Write the equations of equilibrium, and at the point of impending motion (slipping), calculate:
1. **Minimum Applied Couple \( M_{min} \):** The minimum applied couple \( M_{min} \) that is required to initiate slipping (in Newton-meters).
2. **Maximum Friction Force \( F_{max} \):** The maximum friction force \( F_{max} \) (in Newtons).
3. **Normal Force \( N \):** The normal force \( N \) (in Newtons) of the surface on the wheel.
4. **Force of the Link-AB on the Wheel \( F_{AB} \):** The force of the link-AB on the wheel \( F_{AB} \) (in Newtons).

**Diagram Explanation:**
- The diagram illustrates a wheel on a surface, showing:
- The couple-moment \( M \) applied to the wheel.
- The wheel with a radius of 150 mm.
- A link-AB connected to the wheel at point B, with the length of AB being 250 mm.

This problem requires an understanding of equilibrium equations, friction, and forces acting on the wheel and the link AB. The Free Body Diagram (FBD) is essential for visualizing and solving for the forces and moments acting upon the system.

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