The doorstop experiences trapezoidal pressure distribution in the friction pad, as shown in the figure. a = 8 in, b = 4 in, c = 3.25in, w₁ = 1.5 in, and w₂ W2 = 1 in. f = 0.2. The floor is moving to the right relative to the friction pad. Compute the magnitude of the normal forces and friction forces. . . Draw the free body diagram. Be sure to include necessary force components and their locations. What is the actuation force necessary to achieve static equilibrium? Find the reaction forces at the hinge.

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
icon
Related questions
Question

Help

**Friction Pad Pressure Distribution and Force Analysis**

The doorstop experiences trapezoidal pressure distribution in the friction pad, as shown in the figure. The dimensions are as follows: 
- a = 8 in
- b = 4 in
- c = 3.25 in
- w₁ = 1.5 in
- w₂ = 1 in
- f = 0.2

The floor is moving to the right relative to the friction pad.

### Questions:
- Compute the magnitude of the normal forces and friction forces.
- Draw the free body diagram. Be sure to include necessary force components and their locations.
- What is the actuation force necessary to achieve static equilibrium?
- Find the reaction forces at the hinge.

### Diagram Explanation:
The diagram shows a beam with a hinge at point A and a friction pad at point B. 
- A top view of the pad (Plan view) is shown with dimensions w₁ and w₂.
- Forces shown include the normal force (N) and shear force (S) acting on the friction pad. The normal force is depicted with a pressure distribution of 70 psi along the pad.
- The beam length is labeled 'a,' and the distance 'b' marks the position of the friction pad.

Ensure calculations account for the trapezoidal pressure distribution and dynamic conditions due to the floor’s relative motion.
Transcribed Image Text:**Friction Pad Pressure Distribution and Force Analysis** The doorstop experiences trapezoidal pressure distribution in the friction pad, as shown in the figure. The dimensions are as follows: - a = 8 in - b = 4 in - c = 3.25 in - w₁ = 1.5 in - w₂ = 1 in - f = 0.2 The floor is moving to the right relative to the friction pad. ### Questions: - Compute the magnitude of the normal forces and friction forces. - Draw the free body diagram. Be sure to include necessary force components and their locations. - What is the actuation force necessary to achieve static equilibrium? - Find the reaction forces at the hinge. ### Diagram Explanation: The diagram shows a beam with a hinge at point A and a friction pad at point B. - A top view of the pad (Plan view) is shown with dimensions w₁ and w₂. - Forces shown include the normal force (N) and shear force (S) acting on the friction pad. The normal force is depicted with a pressure distribution of 70 psi along the pad. - The beam length is labeled 'a,' and the distance 'b' marks the position of the friction pad. Ensure calculations account for the trapezoidal pressure distribution and dynamic conditions due to the floor’s relative motion.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Basic Terminology in Mechanics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY