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.
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
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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febf13e6c-d0c0-4451-839c-4b8bbc4f9e94%2F3b264006-a4fa-4734-b794-e668184e78a2%2F9upb15o_processed.jpeg&w=3840&q=75)
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.
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