### Problem 5-78The member is supported by a pin at \(A\) and cable \(BC\). Determine the components of reaction at these supports if the cylinder has a mass of 40 kg.#### Explanation of Diagram- **Member and Supports:** - The member is depicted in blue, supported at two points: a pin at point \(A\) and a cable attached to point \(B\). - **Coordinate Axes:** - The axes are labeled as \(x\), \(y\), and \(z\), indicating a 3-dimensional coordinate system.- **Dimensions:** - The distance from point \(A\) to the attachment point \(B\) of the cable along the \(z\)-axis is 0.5 meters. - The distance from point \(A\) to point \(C\) along the \(x\)-axis is 3 meters. - The cable \(BC\) connects to a point directly above \(C\) at 1 meter along the \(y\)-axis. - The distance from point \(C\) vertically downward to point \(D\) is 1 meter.- **Load:** - A cylindrical load of 40 kg is hanging from cable \(CD\).This setup requires calculating the reaction forces at both the pin \(A\) and cable \(BC\), considering the weight of the cylinder and the geometry of the system.

Given data: m=40 kg Need to determine the component of the reaction at the support.

Answered: 5-78. The member is supported by a pin…

5-78. The member is supported by a pin at A and cable BC. Determine the components of reaction at these supports if the cylinder has a mass of 40 kg. Problem 5-78 D m Im 0.5 m B Z 3 m 1m

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 Statement Based on Problem 5-74 from the textbook. The bend rod is supported at A, B, and C…

A: Draw the free-body diagram of the bend rod.

Q: The bend rod is supported at A, B, and C by smooth journal bearings. Determine the components of…

Q: Both pulleys are fixed to the shaft and as the shaft turns with constant angular velocity, the power…

Q: 5-34. Determine the force P required to hold the 150-kg crate in equilibrium.

A: Given data: Mass of the crate is m=150 kg The free body diagram of pully A: Applying the equation…

Q: 400 Kg 2m 0,5 m 3m- 1 m

Q: P18-1. The bucket of the excavator is supported by member AB and the pin support at C. If W = 1500…

Q: The trailer is shown in figure, with its load has a mass of 113 kg and a center of mass at G. If it…

Q: Determine the horizontal and vertical components of the pin reactions at A and C of the system…

Q: *5-60. The platform scale consists of a combination of third and first class levers so that the load…

Q: Determine the required length of the cord AC, So that the 8 kg lamp can be suspended in the position…

A: When a body is in static equilibrium, the net external force acting on the body is equal to zero.…

Q: 4-kg sphere rests on the smooth parabolic surface. Determine the normal force on the surface and the…

A: Mass of the sphere , The equation of parabola, is height of the ball from the ground level, h =0.4…

Q: 20 N/m KAC www !3! 3 m

A: given:

Q: Problem Statement Based on Problem 6-11 from the textbook. The spring has an unstretched length of…

Q: *5-16. Determine the tension in the cable and the horizontal and vertical components of reaction of…

Q: 5-45. If the hand truck and its contents have a mass of 50 kg with center of gravity at G, determine…

Q: The unstretched length of spring AB is 3 m. If the block is held in the equilibrium position as…

A: Given :unstretched length of spring AB is 3 mFrom the figure , the stretched length of spring AB LAB…

Q: *5-16. Determine the tension in the cable and the horizontal and vertical components of reaction of…

Q: F6-14. Determine the horizontal and vertical components of reaction at pin C.

Q: R5–3. Determine the normal reaction at the roller A and horizontal and vertical components at pin B…

Q: 4/36 Determine the force in member BE of the loaded truss.

A: Here we will use the method of section to calculate the load in member BE

Q: P6-1. use the element shown and specify i, y, and dA.

A: Given Data: Dimensions in the figure. The area of element is given as, dA=xdy The expression of…

Q: 5-45. The man uses the hand truck to move material up the If the truck and its contents have a mass…

A: The force at the grip and at the wheel is required to be calculated for the given situation as shown…

Q: Determine the magnitudes of all pin reactions for the frame loaded as shown. Assume F = 810 N, a =…

Q: Determine the required length of the cord AC, So that the 8 kg lamp can be suspended in the position…

A: When a body is in static equilibrium, the net external force acting on the body is equal to…

Q: 3-23. Determine the unstretched length of spring AC if a force P 80 lb causes the angle 6 60° for…

Q: -127. Determine the clamping force exerted on the mooth pipe at B if a force of 20 lb is applied to…

Q: The mass center G of the 1590-kg rear-engine car is located as shown in the figure. Determine the…

A: Introduction By taking into account the moment at any point and the net forces in the vertical…

Q: Draw the free-body diagram of each object and determine the components of the support reaction

A: According to the given data We need to find the reactions at point-A and B

Q: Determine the reactions at the supports.

A: Note:As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: F5-1. Determine the horizontal and vertical components of reaction at the supports. Neglect the…

Q: Based on Problem 5-87 from the textbook. Both pulleys are fixed to the shaft and as the shaft turns…

Q: At A the connection is with a ball-and-socket joint and at B *5-80. The bar AB is supported by two…

A: To Find : The x,y,z component of reaction at point A and B. Given : The applied load is P=50 lb Free…

Q: In figure shown, the unstretched length of spring AC is 3 m. If the block is held in the equilibrium…

A: The final length of the member AB can be determined as, The final length of the member AC can be…

Q: *5-80. The bent rod is supported at A, B, and C by smooth journal bearings. Determine the magnitude…

A: The force ,The reaction,To find:The magnitude of force F2

Q: 1- Determine the angle 8 for equilibrium and investigate the stability of the mechanism in this…

A: given :spring is unstretched,when mass of block A= m= 40 kgspring stiffness= k= 1.5 kN/m

Q: 5-44. The 10-kg uniform rod is pinned at end A. If it is also subjected to a couple moment of 50…

A: The 10-kg uniform rod is pinned at end A. If it is also subjected to a couple moment of 50…

Q: The ramp is used as passengers board a small commuter airplane. The total mass of the ramp and six…

Q: ne B *6-22. Determine the force P needed to hold the 20-lb block in equilibrium. 160 IL C P B A…

A: Lets call tension in other rope Tat C There are two Ps down and one T upso T - 2P = 0so T= 2Pat A…

Q: Determine the components of these reactions if A ex only x and z components of force and B exerts x,…

A: Draw the FBD for the given question.

Q: R5-7. Determine the x, y, z components of reaction at the ball supports B and C and the…

A: Here we will apply equilibrium conditions.

Q: P5-3. then draw the free-body diagrams of each member of the identify any two-force members, and…

A: Break the given frame into two parts AB and BC. Understand that the Uniformly varying load can be…

Question

### Problem 5-78

The member is supported by a pin at \(A\) and cable \(BC\). Determine the components of reaction at these supports if the cylinder has a mass of 40 kg.

#### Explanation of Diagram

- **Member and Supports:**
- The member is depicted in blue, supported at two points: a pin at point \(A\) and a cable attached to point \(B\).

- **Coordinate Axes:**
- The axes are labeled as \(x\), \(y\), and \(z\), indicating a 3-dimensional coordinate system.

- **Dimensions:**
- The distance from point \(A\) to the attachment point \(B\) of the cable along the \(z\)-axis is 0.5 meters.
- The distance from point \(A\) to point \(C\) along the \(x\)-axis is 3 meters.
- The cable \(BC\) connects to a point directly above \(C\) at 1 meter along the \(y\)-axis.
- The distance from point \(C\) vertically downward to point \(D\) is 1 meter.

- **Load:**
- A cylindrical load of 40 kg is hanging from cable \(CD\).

This setup requires calculating the reaction forces at both the pin \(A\) and cable \(BC\), considering the weight of the cylinder and the geometry of the system.

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 1 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

Please help
Problem Statement Based on Problem 5-74 from the textbook. The bend rod is supported at A, B, and C by smooth journal bearings. Determine the components of reaction at the bearings if the rod is subjected to the force F. The bearings ar ein proper alignment and exert only force reactions on the rod. F=815m d=1.00m e=1.90 m f=2.20 m 30° 60° B d f 0.75 m
6-40. The compound beam is fixed supported at C and supported by rockers at A and B. If there are hinges (pins) at D and E, determine the components of reaction at the supports. Neglect the thickness of the beam. 900 lb 400 lb A 0 2 ft 300 lb B FRESSPOR -6 ft4 ft 4 ft D 4 ft- 2 ft Prob. 6-40 E 650 lb 13/12 2 ft C -8 ft- 4
*5-16. The linkage supports a force of 500 lb and rides along the top and bottom flanges of the crane rail. Determine the force of each roller on the flange. Problem 5-16 -8 in. B 3 in.- 500 lb
R5-6. A vertical force of 400 N acts on the crankshaft. Determine the horizontal equilibrium force P that must be applied to the handle and the x, y, z components of reaction at the journal bearing A and thrust bearing B. The bearings are properly aligned and exert only force reactions on the shaft. z P 400 N 150 mm 200 mm 350 mm 100 mm B 250 mm y 350 mm
5-78. The hatch door has a weight of 80 lb and center of gravity at G. If the force F applied to the handle at C has coordinate direction angles of a = 60°, ß = 45°, and y = 60°, determine the magnitude of F needed to hold the door slightly open as shown. If the hinge at A becomes loose from its attachment and is ineffective, what are the x, y, z components of reaction at hinge B? 2 4 ft 3 ft. 2 ft 3 ft C B X F Probs. 5-77/78
5-46. Three uniform books, each having a weight W and length a, are stacked as shown. Determine the maximum distance d that the top book can extend out from the bottom one so the stack does not topple over. Problem 5-46 a
*5-16. Determine the tension in the cable and the horizontal and vertical components of reaction of the pin A. The pulley at D is frictionless and the cylinder weighs 80 lb. A 5 ft- D B 2 5 ft 3 ft Prob. 5-16 C
why is there no moment at b?
6
Determine the support reactions: 4 m 4 m 150 KN 6 m 25 kN/m -10 m- Diag 4m T 4m Ax ISC