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Q1/ A brake shoe is applied to a drum by a lever AB which is pivoted at a fixed point A and rigidly fixed to shoe, as shown in the figure (Q1). The radius of the drum is 160 mm. The coefficient of friction at the brake lining is 0.3. If the drum rotates clockwise, find the braking torque due to the horizontal force of 600 N at B. B T 400 mm 350 mm A 600 N 20° EX -20% 200- mm 160 mm

Q1/ A brake shoe is applied to a drum by a lever AB which is pivoted at a fixed point A and rigidly fixed to shoe, as shown in the figure (Q1). The radius of the drum is 160 mm. The coefficient of friction at the brake lining is 0.3. If the drum rotates clockwise, find the braking torque due to the horizontal force of 600 N at B. B T 400 mm 350 mm A 600 N 20° EX -20% 200- mm 160 mm

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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### Problem: Braking Torque Calculation **Q1:** A brake shoe is applied to a drum by a lever AB which is pivoted at a fixed point A and rigidly fixed to the shoe, as shown in the figure (Q1). The radius of the drum is 160 mm. The coefficient of friction at the brake lining is 0.3. If the drum rotates clockwise, find the braking torque due to the horizontal force of 600 N at B. **Diagrams and Dimensions:** - **Diagram Description:** The diagram is a schematic representation of a brake system. - **Lever and Brake System:** - Point A is the pivot point. - Point B is where the 600 N horizontal force is applied. - **Measurements:** - The distance from the pivot point A to the point where the brake shoe contacts the drum (horizontally): 200 mm. - The radius of the drum: 160 mm. - The height from the pivot point A to the line of application of force at B: 350 mm. - The vertical distance from the pivot point A to the drum's top contact point: 400 mm. - **Angle:** - Angle subtended at the drum for the brake shoe: 20 degrees from the vertical on each side. **Objective:** Determine the braking torque produced by the horizontal force of 600 N applied at point B. ### Approach to Solution: To solve this problem, we will: 1. Calculate the force creating the friction at the point of contact between the brake shoe and the drum. 2. Determine the frictional force using the coefficient of friction. 3. Calculate the moment arm associated with this frictional force. 4. Use these to determine the total braking torque. This problem involves the correct application of principles of rotational mechanics and friction. The provided figure and dimensions are critical in visualizing the mechanics and calculating the resultant forces and moments.
Transcribed Image Text:### Problem: Braking Torque Calculation **Q1:** A brake shoe is applied to a drum by a lever AB which is pivoted at a fixed point A and rigidly fixed to the shoe, as shown in the figure (Q1). The radius of the drum is 160 mm. The coefficient of friction at the brake lining is 0.3. If the drum rotates clockwise, find the braking torque due to the horizontal force of 600 N at B. **Diagrams and Dimensions:** - **Diagram Description:** The diagram is a schematic representation of a brake system. - **Lever and Brake System:** - Point A is the pivot point. - Point B is where the 600 N horizontal force is applied. - **Measurements:** - The distance from the pivot point A to the point where the brake shoe contacts the drum (horizontally): 200 mm. - The radius of the drum: 160 mm. - The height from the pivot point A to the line of application of force at B: 350 mm. - The vertical distance from the pivot point A to the drum's top contact point: 400 mm. - **Angle:** - Angle subtended at the drum for the brake shoe: 20 degrees from the vertical on each side. **Objective:** Determine the braking torque produced by the horizontal force of 600 N applied at point B. ### Approach to Solution: To solve this problem, we will: 1. Calculate the force creating the friction at the point of contact between the brake shoe and the drum. 2. Determine the frictional force using the coefficient of friction. 3. Calculate the moment arm associated with this frictional force. 4. Use these to determine the total braking torque. This problem involves the correct application of principles of rotational mechanics and friction. The provided figure and dimensions are critical in visualizing the mechanics and calculating the resultant forces and moments.
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