**Title: Analysis of Rigid Bar with Cable and Pulley System****Problem Statement:**ABC is a rigid bar with a pin at B, and cable ADC wound around the pulley at D. There is a force of 72 N acting at point A. Neglect friction and the radius of the pulley. Carry out the following tasks:a) Draw the Free Body Diagram (FBD) of bar ABC.b) Determine the tension in cable ADC.c) Determine the reaction at pin B.**Hint:**As it is the same cable wound around the pulley, draw the FBD of bar ABC, considering pin reactions at B, and cable tension at A and C. The unknown cable tension at A and C have the same magnitude.**Diagram Explanation:**- **Diagram Components:** - The bar ABC is horizontal, with point A at the leftmost end and point C at the rightmost end. - A pin is located at point B, which is the midpoint of the bar. - A pulley is positioned above the bar at point D, located directly above point A. - A cable ADC runs from point C, over the pulley at D, and ending at point A.- **Dimensions and Forces:** - The distance from point A to the pulley D is 70 mm vertically. - The horizontal length of the bar from A to C is 240 mm. - The distance from point A to point B is 120 mm (denoted as 'a'). - A downward force of 72 N acts at point A.**Steps to Solve:**1. **Free Body Diagram (FBD):** - Include forces acting at points A, B, and C. - Represent the tension in the cable at points A and C as equal. - Illustrate the force of 72 N acting at point A.2. **Tension in Cable ADC:** - Use equilibrium equations for forces and moments to find the tension in the cable.3. **Reaction at Pin B:** - Apply the equilibrium conditions to solve for the reaction forces at the pin B. Consider the horizontal and vertical components of the reaction.This setup explores basic mechanics principles, involving equilibrium of forces and moments, useful in understanding real-world applications of static systems.

Answered: Image /qna-images/answer/fb9fefe8-5a3f-4526-8de7-ee07678df177.jpg

ABC is a rigid bar, with a pin at B, and cable ADC wound around the pulley at D. There is a force of 72 N acting at point A. Neglecting friction and the radius of the pulley, a) Draw Free Body Diagram of bar ABC. b) Determine tension in cable ADC. c) Determine reaction at pin B. Hint: Since it is the same cable wound around the pulley, draw FBD of bar ABC, with pin reactions at B, cable tension at A and C, with the unknown cable tension at A and C having the same magnitude. D 70 mm C A В 72 N 120 1 a = mm -240 mm

ABC is a rigid bar, with a pin at B, and cable ADC wound around the pulley at D. There is a force of 72 N acting at point A. Neglecting friction and the radius of the pulley, a) Draw Free Body Diagram of bar ABC. b) Determine tension in cable ADC. c) Determine reaction at pin B. Hint: Since it is the same cable wound around the pulley, draw FBD of bar ABC, with pin reactions at B, cable tension at A and C, with the unknown cable tension at A and C having the same magnitude. D 70 mm C A В 72 N 120 1 a = mm -240 mm

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

See similar textbooks

Related questions

Q: Problem 2. Considering a 20 kg bar as shown in the figure: a) find angle theta and the reactions to…

A: Consider NA as the reaction at point A, NB as the reaction at point B, fB be the frictional force…

Q: O The truss is subjected to the loading condition as shown in the Figure Q4.1. Identify and…

Q: For the structure shown in Fig.(2), determine the tension in cable ABD and the reaction at C when…

Q: The bar DBC is supported by a roller at D (on a smooth slot), a bar AB, and the spring at C, which…

A: The roller gives a horizontal reaction Dx at D. The hinge gives a horizontal reaction Ax and…

Q: A boom AB is supported in a horizontal position by a hinge A and a cable which runs from C over a…

A: The FBD of the horizontal boom. Determine the tension in the cable and the components of reaction at…

Q: 1. T show Dete can com Ans

A: Lamis theorm is used in the above Question Each force is proportional to the sine of the angle…

Q: Q.4) Two wooden boards, each weighing 15 lb, are fastened together and supported by ball-and-socket…

Q: Consider a ladder used by a construction worker as shown below. The worker weight plus his tools is…

A: Given data (Ra)x = 50 lb (Ra)y = 200 lb (Rb)x = 50 lb W = 200 lb To determine the moment about…

Q: Please show your solutions clearly. Show your FBD or illustrations. 1. (a) Find the tension in each…

A: Let the tension in the cables be T1 and T2 . The FBD is shown below -

Q: 2. A rectangular is supported as shown below. The weight of the plate can be neglected. The plate is…

Q: Problem 4.2 - Bar AB is 4 feet long and weighs 20 lbs. It is supported by two cords and by smooth…

Q: The frame depicted in the figure below is subjected to a 150 N horizontal load applied the pin at B.…

Q: A 1260-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the…

Q: F, b Fig-3

A: The representation of the forces is:

Q: 2.00 m D 2.00 m 1.00 m A C E F 1.00 m В 1.00 m 1.50 m 1.80 kN N

A: A Free body diagram isolates the given body from all its supports and shows all the forces acting on…

Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

**Title: Analysis of Rigid Bar with Cable and Pulley System**

**Problem Statement:**
ABC is a rigid bar with a pin at B, and cable ADC wound around the pulley at D. There is a force of 72 N acting at point A. Neglect friction and the radius of the pulley. Carry out the following tasks:

a) Draw the Free Body Diagram (FBD) of bar ABC.
b) Determine the tension in cable ADC.
c) Determine the reaction at pin B.

**Hint:**
As it is the same cable wound around the pulley, draw the FBD of bar ABC, considering pin reactions at B, and cable tension at A and C. The unknown cable tension at A and C have the same magnitude.

**Diagram Explanation:**
- **Diagram Components:**
- The bar ABC is horizontal, with point A at the leftmost end and point C at the rightmost end.
- A pin is located at point B, which is the midpoint of the bar.
- A pulley is positioned above the bar at point D, located directly above point A.
- A cable ADC runs from point C, over the pulley at D, and ending at point A.

- **Dimensions and Forces:**
- The distance from point A to the pulley D is 70 mm vertically.
- The horizontal length of the bar from A to C is 240 mm.
- The distance from point A to point B is 120 mm (denoted as 'a').
- A downward force of 72 N acts at point A.

**Steps to Solve:**
1. **Free Body Diagram (FBD):**
- Include forces acting at points A, B, and C.
- Represent the tension in the cable at points A and C as equal.
- Illustrate the force of 72 N acting at point A.

2. **Tension in Cable ADC:**
- Use equilibrium equations for forces and moments to find the tension in the cable.

3. **Reaction at Pin B:**
- Apply the equilibrium conditions to solve for the reaction forces at the pin B. Consider the horizontal and vertical components of the reaction.

This setup explores basic mechanics principles, involving equilibrium of forces and moments, useful in understanding real-world applications of static systems.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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.

Similar questions

6.63 The principles of a differential chain block are indicated schematically in the figure. Determine the magnitude of force P needed to support the 800-N force. Also, find the distance x where the cable must be attached to bar AB so the bar remains horizontal. All pulleys have a radius of 60 mm.
Fig. 1 shows a simple six bar linkage held in static equilibrium while a torque Tin = 250 N mm is applied. Determine the reaction forces at each joint and the holding force P by considering the free-body diagrams of each member. Each small square on the grid is 50 mm by 50 mm. H E Figure 1 Simple Six Bar Linkage B Tin
Q/1: A 10 m long vertical mast has a ball-and socket joint at A, and it is supported by two (2) cables, BD and BC as shown in Figure 1. A force 4 kN is applied at G. Draw the free body diagram (FBD) for the rigid body and determine: (a) The tensions in cables BD and BC (b) The reactions at the ball-and-socket joint at A (c) The projection of T, along the line BE (d) The angle between cable BD and line BE (e) The moment of T, along line CF T2 4 kN 5 m B 5 m T₁ 4m-F 74 m 12m x
A rear suspension system for a front wheel-drive vehicle is shown here. Spring EF is offset behind member CD. The normal force due to contact between 2 wheel and the road is 4200 N. Assume the weight of the wheel and suspension system components is negligible. (a) Determine the magnitude of the force in member CD. Is the member in tension or compression? (b) Determine the support reactions at A. (c) Determine the unstretched length of the spring EF given a spring constant of 150 kN/m. 60 mm 1130 mm 60 mm 245 mm D 220 mm F 260 mm E B 165 mm 90 mm F = 4200 N
A) Draw a free body diagram of the bar CD. Assume appropriate reactions at C and D in order to keep the problem solvable. The block has a mass of 5 Mg. B) Compute the tension in the cable ADB, ignore the radius of the pulley. C) Compute the reactions at C. 3 m A N B 4 m 4 m D