### Problem Description:For the crank-slider machine shown below, the collar at \( A \) is frictionless. The vertical applied force, \( P = 100 \, \text{lb} \).#### Tasks:a) Draw the free body diagram of each member, and show all forces, including known directions.b) Determine the magnitude of the moment, \( M \), in order for the machine to be in equilibrium.**Answer:** \( M = 14,000 \, \text{in lb} \).### Diagram Explanation:The diagram features a linkage system with the following components:- **Collar at A**: Positioned at the leftmost part and labeled as frictionless.- **Applied Force \( P \)**: A vertical upward force of 100 lb is applied at a distance of 5 inches from the left end of the horizontal member.- **Member AB**: Extends horizontally for 20 inches.- **Member CD**: Angled upward, forming a linkage with pin \( D \).- **Moment \( M \)**: Illustrated as a curved arrow at point \( B \), 20 inches from the right end.- **Dimensions**: Distances between points are labeled—20 inches for each segment horizontally, 15 inches vertically between point \( B \) and the horizontal axis extending from \( A \).### Note:To solve the problem:- Draw free body diagrams for each member.- Use equilibrium equations to solve for unknown forces and the moment \( M \).

Answered: Image /qna-images/answer/447369ab-c72d-4d2e-bdde-aa81abf5bd35.jpg

2. For the crank-slider machine shown below, the collar at A is frictionless. The vertical applied force, P = 100 lb. a) Draw the free body diagram of each member, and show all forces, including known directions. b) Determine the magnitude of the moment, M, in order for the machine to be in equilibrium. Ans: M = 14,000 in lb. 5 in 15 in. 5 in В 20 in. 20 in 20 in

2. For the crank-slider machine shown below, the collar at A is frictionless. The vertical applied force, P = 100 lb. a) Draw the free body diagram of each member, and show all forces, including known directions. b) Determine the magnitude of the moment, M, in order for the machine to be in equilibrium. Ans: M = 14,000 in lb. 5 in 15 in. 5 in В 20 in. 20 in 20 in

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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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

### Problem Description:

For the crank-slider machine shown below, the collar at \( A \) is frictionless. The vertical applied force, \( P = 100 \, \text{lb} \).

#### Tasks:
a) Draw the free body diagram of each member, and show all forces, including known directions.

b) Determine the magnitude of the moment, \( M \), in order for the machine to be in equilibrium.

**Answer:** \( M = 14,000 \, \text{in lb} \).

### Diagram Explanation:

The diagram features a linkage system with the following components:

- **Collar at A**: Positioned at the leftmost part and labeled as frictionless.
- **Applied Force \( P \)**: A vertical upward force of 100 lb is applied at a distance of 5 inches from the left end of the horizontal member.
- **Member AB**: Extends horizontally for 20 inches.
- **Member CD**: Angled upward, forming a linkage with pin \( D \).
- **Moment \( M \)**: Illustrated as a curved arrow at point \( B \), 20 inches from the right end.
- **Dimensions**: Distances between points are labeled—20 inches for each segment horizontally, 15 inches vertically between point \( B \) and the horizontal axis extending from \( A \).

### Note:

To solve the problem:
- Draw free body diagrams for each member.
- Use equilibrium equations to solve for unknown forces and the moment \( M \).

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