Knowing that P = 25 lb and Q = 55 lb, determine the components of the forces exerted (a) on member BCDF at C and D, (b) on member ACEG at E.
(a)
The components of the forces exerted on member BCDF at C and D.
Answer to Problem 6.104P
The x component of force at D,
Explanation of Solution
Figure 1 is the free body diagram of the entire frame of the system.
Write the equation to find the sum of the moments about point E.
Here,
Write the equation to find the sum of x components of force.
Here,
Consider the member BCDF of the system.
Figure 2 shown below is the free body diagram of member BCDF.
Write the equation to find the sum of x component of force.
Here,
Write the equation to find the sum of moments at D.
Here,
Write the equation to find the sum of y components of force.
Here,
Consider the free body diagram of member ACEG. The free body diagram of ACEG is given in figure 3.
Write the equation to find the sum of y component of force.
Here,
Conclusion:
Solve equation (I) to get the value of
Substitute
Solve equation (III) to get the value of
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, The x component of force at D,
(b)
The component of force on member ACEG at E.
Answer to Problem 6.104P
The x component of force at E,
Explanation of Solution
Rewrite equation (II) to find the x component of force at E.
Here,
Rewrite equation (VI) to get the y component of force at E.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, The x component of force at E,
Want to see more full solutions like this?
Chapter 6 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
- A welded connection is in equilibrium under the action of the four forces shown. Knowing that FA = 8 kN and FB= 16 kN, determine the magnitudes of the other two forces.arrow_forwardMember BD exerts on member ABC a force P directed along line BD . Knowing that P must have a 300-lb horizontal component, determine (a) the magnitude of the force P, (b) its vertical component.arrow_forwardTwo forces P and Q are applied as shown to an aircraft connection. Knowing that the connection is in equilibrium and that P=500 lb and Q = 650 lb, determine the magnitudes of the forces exerted on the rods A and B.arrow_forward
- Two forces P and Q are applied as shown to an aircraft connection. Knowing that the connection is in equilibrium and that the magnitudes of the forces exerted on rods A ans B are F sub = 750 lb and FB= 400 lb, determine the magnitudes of P and Q.arrow_forwardTwo forces P and Q are applied as shown to an aircraft connection. Knowing that the connection is in equilibrium and that P = 500 lb and Q= 650 lb, determine the magnitudes of the forces exerted on rods A and B.arrow_forwardKnowing that the tension in cable AC is 2130 N, determine the components of the force exerted on the plate at C.arrow_forward
- Collars A and B are connected by a 25-in.-long wire and can slide freely on frictionless rods. Determine the distances x and z for which the equilibrium of the system is maintained when P=120 lb and Q=60 lb.arrow_forwardSolve Prob. 2.103, assuming that a= 8 in.(Reference to Problem 2.103):A 36-lb triangular plate is supported by three wires as shown. Determine the tension in each wire, knowing that a= 6 in.arrow_forwardThe hydraulic cylinder CF, which partially controls the position of rod DE, has been locked in the position shown. Knowing that θ = 60°,determine (a) the force P for which the tension in link AB is 410 N,(b) the corresponding force exerted on member BCD at point C.arrow_forward
- A uniform rod AB with a length of l and weight of W is suspended from two cords AC and BC of equal length. Determine the angle 0 corresponding to the equilibrium position when a couple M is applied to the rod.arrow_forwardTwo cables tied together at C are loaded as shown. Determine the range of values of Q for which the tension will not exceed 60 lb in either cable.arrow_forwardSince the brace shown must remain in position even when the magnitude of P is very small, a single safety spring is attached at D and E . The spring DE has a constant of 50 lb/in. and an unstretched length of 7 in. Knowing that 1= 10 in. and that the magnitude of P is 800 lb, determine the force Q required to release the brace.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY