Determine the vertical force P that must be applied at G to maintain the equilibrium of the linkage.
Fig. P10.101 and P10.102
Find the vertical force P that should be applied at G for which the equilibrium is maintained.
Answer to Problem 10.101RP
The vertical force P required for the equilibrium is
Explanation of Solution
Show the free-body diagram of the arrangement as in Figure 1.
Consider the vertical displacement at A as
Find the vertical displacement
Find the vertical displacement
Find the vertical displacement
Find the vertical displacement
Use the virtual work principle:
Substitute
Therefore, the vertical force P required for the equilibrium is
Want to see more full solutions like this?
Chapter 10 Solutions
VECTOR MECH...,STAT.+DYN.(LL)-W/ACCESS
- A load W of magnitude 72 lb is applied to the mechanism at C . Neglecting the weight ol the mechanism, determine the value of 0 corresponding to equilibrium. The constant of the spring is k = 20 lb/in., and the spring is unstretched when 0 = 0.Fig. P10.37arrow_forwardDetermine the value of θ corresponding to the equilibrium position of the rod of Prob. 10.12 when P = 80 N, and Q= 100 N.Reference to Problem 10.12:Knowing that the line of action of the force Q passes through point C , derive an expression for the magnitude of Q required to maintain equilibrium.arrow_forwardSolve Prob. 10.108 assuming that the 24-lb load is applied at C instead of E.(Reference to Problem 10.108):Two identical rods ABC and DBE are connected by a pin at B and by a spring CE . Knowing that the spring is 4 in. long when unstretched and that the constant of the spring is 8 lb/in., determine the distance x corresponding to equilibrium when a 24-lb load is applied at E as shown.arrow_forward
- Determine the value of θ corresponding to the equilibrium position of the rod of Prob. 10.10 when I= 30 in., a= 5 in., P = 25 lb, and Q= 40 lb.Reference to Problem 10.10:The slender rod AB is attached to a collar A and rests on a small wheel at C . Neglecting the radius of the wheel and the effect of friction, derive an expression for the magnitude of the force Q required to maintain the equilibrium of the rod.arrow_forwardSolve Prob. 10.12 assuming that the force P applied at point A acts horizontally to the left.Reference to Problem 10.12:Knowing that the line of action of the force Q passes through point C , derive an expression for the magnitude of Q required to maintain equilibrium.arrow_forwardA container of weight W is suspended from ring A. Cable BAC passes through the ring and is attached to fixed supports at B and C. Two forces P = Pi and Q = Qk are applied to the ring to maintain the container in the position shown. Knowing that W = 542 N, determine P and Q. (Hint: The tension is the same in both portions of cable BAC.) 150 mm 140 mm B 240 mm 130 mm 420 mm P Warrow_forward
- 9. A man is trying to pull the sled by applying a force of 500 N, as shown. The weight of the stone and the sled is 800 N while the sled is about to slide (i.e., it is still in equilibrium). Determine the magnitude of the reaction force R. a. b. W = 800 N 650 N 700 N 0 R P = 500 N 30⁰ Cc. d. 750 N 800 Narrow_forwardDetermine the value of θ corresponding to the equilibrium position of the rod of Prob. 10.14 when P = 270 N, and Q= 960 N.Reference to Problem 10.14:The mechanism shown is acted upon by the force P; derive an expression for the magnitude of the force Q required to maintain equilibrium.arrow_forwardA spring of constant 15 kN/m connects points C and F of the linkage shown. Neglecting the weight of the spring and linkage, determine the force in the spring and the vertical motion of point G when a vertical downward 120-N force is applied (a) at point C ,( b) at points E and F.Fig. P10.8arrow_forward
- 50 N PROBLEM 8.122 A cable is placed around three parallel pipes. Knowing that the coefficients of friction are μs = 0.25 and μk = 0.20, determine (a) the smallest weight W for which equilibrium is maintained, (b) the largest weight W that can be raised if pipe B is slowly rotated counterclockwise while pipes A and C remain fixed. Warrow_forwardCollars 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. y 20 in. Barrow_forwardKnowing that mB= 70 kg and mC = 25 kg, determine the magnitude of the force P required to maintain equilibrium.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