The 80-lb homogeneous plate is supported by a ball-and-socket joint at A, a slider hearing at B, and the cable CE. A 120-lb vertical force is applied to the corner D. Determine the force in the cable and the magnitude of the bearing reaction at B.
Force in cable and the magnitude of bearing reaction at B.
Answer to Problem 5.46P
Explanation of Solution
Given Information:
The 80-lb homogeneous plate is supported by a ball-socket joint at A, a slider bearing at B, and the cable CE. See figure below.
Calculation:
Draw free body diagram of as shown in following figure,
Forces and corresponding position vectors are listed in the following table,
Force | Position vector |
| |
Take equilibrium of moments about origin as,
Above vector equations gives following scalars equations,
Take equilibrium of forces as,
Above vector equations gives following scalars equations,
Solve equations (1-6) to get
The magnitude of reaction at B is
Conclusion:
Therefore,
Want to see more full solutions like this?
Chapter 5 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
- The 180-lb homogeneous bar is supported by a ball-and-socket joint at A and two cables attached to B. Determine the forces in the cables.arrow_forwardThe uniform, 20-kg bar is placed between two vertical surfaces. Assuming sufficient friction at A to support the bar, find the magnitudes of the reactions at A and B.arrow_forwardThe walkway ABC of the footbridge is stiffened by adding the cable ADC and the short post of length L. If the tension in the cable is not to exceed 420 lb, what is the smallest value of L for which the 160-lb person can be supported at B?arrow_forward
- Find the force P required to (a) push; and (b) pull the 80-lb homogeneous roller over the 3-in. curb.arrow_forwardThe homogeneous 20-kg door is held in the horizontal plane by a thrust hinge at O, a hinge at A, and the vertical prop BC. Determine all forces acting on the door.arrow_forwardThe figure shows a three-pin arch. Determine the horizontal component of the pin reaction at A caused by the applied force P.arrow_forward
- The 180-kg uniform boom ABC, supported by a horizontal cable at B and a pin at A, carries a 320-kg load at C. Determine the force in the cable and the magnitude of the pin reaction.arrow_forwardThe three bars are welded together to form a rigid unit that is supported by three slider bearings. Neglecting the weights of the bars, determine the magnitudes of the three bearing reactions caused by the 120-lbin. couple.arrow_forwardThe homogeneous 80-kg sign is suspended from a ball-and-socket joint at O, and cables AD and BC. Determine the forces in the cables.arrow_forward
- The cable is loaded by an 80-lb vertical force at C and a horizonal force P at B. Determine P.arrow_forwardThe spanner shown is used to rotate a shaft. A pin fits in a hole at A, while a flat, frictionless surface rests against the shaft at B. If a 60-lb force P is exerted on the spanner at D, find the reactions at A and B.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L