Vector Mechanics for Engineers: Statics
12th Edition
ISBN: 9781260501735
Author: BEER
Publisher: MCG
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Chapter 10.1, Problem 10.35P
A vertical force P with a magnitude of 150 N is applied to end E of cable CDE that passes over a small pulley D and is attached to the
Fig. P10.35
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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.
Solve Prob. 10.32 assuming that the 900-N vertical force is applied at C instead of E.Reference to Problem 10.32:Two bars AD and DG are connected by a pin at D and by a spring AG . Knowing that the spring is 300 mm long when unstretched and that the constant of the spring is 5 kN/m, determine the value of x corresponding to equilibrium when a 900-N load is applied at E as shown.
A vertical load P is applied at end B of rod BC. The constant of the spring is k, and the spring is unstretched when θ = 60°. (a) Neglecting the weight of the rod, express the angle θ corresponding to the equilibrium position in terms of P, k, and l. (b) Determine the value of θ corresponding to equilibrium if P= 1/4kl.
Chapter 10 Solutions
Vector Mechanics for Engineers: Statics
Ch. 10.1 - Determine the vertical force P that must be...Ch. 10.1 - Determine the horizontal force P that must be...Ch. 10.1 - Prob. 10.3PCh. 10.1 - 10.3 and 10.4 Determine the couple M that must be...Ch. 10.1 - A spring of constant 15 kN/m connects points C and...Ch. 10.1 - A spring of constant 15 kN/m connects points C and...Ch. 10.1 - The two-bar linkage shown is supported by a pin...Ch. 10.1 - Determine the weight W that balances the 10-lb...Ch. 10.1 - Prob. 10.9PCh. 10.1 - Prob. 10.10P
Ch. 10.1 - Prob. 10.11PCh. 10.1 - Knowing that the line of action of the force Q...Ch. 10.1 - Solve Prob. 10.12 assuming that the force P...Ch. 10.1 - The mechanism shown is acted upon by the force P....Ch. 10.1 - Prob. 10.15PCh. 10.1 - 10.15 and 10.16 Derive an expression for the...Ch. 10.1 - A uniform rod AB with length l and weight W is...Ch. 10.1 - The pin at C is attached to member BCD and can...Ch. 10.1 - For the linkage shown, determine the couple M...Ch. 10.1 - For the linkage shown, determine the force...Ch. 10.1 - A 4-kN force P is applied as shown to the piston...Ch. 10.1 - A couple M with a magnitude of 100 Nm isapplied as...Ch. 10.1 - Rod AB is attached to a block at A that can...Ch. 10.1 - Solve Prob. 10.23, assuming that the 800-N force...Ch. 10.1 - Prob. 10.25PCh. 10.1 - Determine the value of corresponding to...Ch. 10.1 - Prob. 10.27PCh. 10.1 - Determine the value of corresponding to...Ch. 10.1 - Prob. 10.29PCh. 10.1 - Two rods AC and CE are connected by a pin at Cand...Ch. 10.1 - Solve Prob. 10.30 assuming that force P is movedto...Ch. 10.1 - Two bars AD and DG are connected by a pin at Dand...Ch. 10.1 - Solve Prob. 10.32 assuming that the 900-N...Ch. 10.1 - Two 5-kg bars AB and BC are connected by a pin atB...Ch. 10.1 - A vertical force P with a magnitude of 150 N...Ch. 10.1 - Prob. 10.36PCh. 10.1 - 10.37 and 10.38 Knowing that the constant of...Ch. 10.1 - Prob. 10.38PCh. 10.1 - The lever AB is attached to the horizontal shaft...Ch. 10.1 - Solve Prob. 10.39, assuming that P = 350 N, l =250...Ch. 10.1 - Prob. 10.41PCh. 10.1 - The position of boom ABC is controlled by...Ch. 10.1 - The position of member ABC is controlled by the...Ch. 10.1 - The position of member ABC is controlled by...Ch. 10.1 - The telescoping arm ABC is used to provide...Ch. 10.1 - Solve Prob. 10.45, assuming that the workers...Ch. 10.1 - Denoting the coefficient of static friction...Ch. 10.1 - Knowing that the coefficient of static...Ch. 10.1 - A block with weight W is pulled up a plane forming...Ch. 10.1 - Derive an expression for the mechanical...Ch. 10.1 - Denoting the coefficient of static friction...Ch. 10.1 - Knowing that the coefficient of static...Ch. 10.1 - Using the method of virtual work,...Ch. 10.1 - Using the method of virtual work, determine...Ch. 10.1 - Referring to Prob. 10.43 and using the value...Ch. 10.1 - Prob. 10.56PCh. 10.1 - Prob. 10.57PCh. 10.1 - Prob. 10.58PCh. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.29....Ch. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.30....Ch. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.31....Ch. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.32....Ch. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.34....Ch. 10.2 - Prob. 10.64PCh. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.37....Ch. 10.2 - Prob. 10.66PCh. 10.2 - Prob. 10.67PCh. 10.2 - Show that equilibrium is neutral in Prob. 10.7....Ch. 10.2 - Two uniform rods, each with a mass m, areattached...Ch. 10.2 - Two uniform rods, AB and CD, are attached to gears...Ch. 10.2 - Two uniform rods AB and CD, of the same length...Ch. 10.2 - Two uniform rods, each of mass m and length l, are...Ch. 10.2 - Using the method of Sec. 10.2C, solve Prob....Ch. 10.2 - In Prob. 10.40, determine whether each of...Ch. 10.2 - A load W of magnitude 144 lb is applied to...Ch. 10.2 - Prob. 10.76PCh. 10.2 - Prob. 10.77PCh. 10.2 - Prob. 10.78PCh. 10.2 - A slender rod AB with a weight W is attached to...Ch. 10.2 - A slender rod AB with a weight W is attached totwo...Ch. 10.2 - Prob. 10.81PCh. 10.2 - A spring AB of constant k is attached to two...Ch. 10.2 - A slender rod AB is attached to two collars A and...Ch. 10.2 - Prob. 10.84PCh. 10.2 - 10.85 and 10.86 Cart B, which weighs 75 kN, rolls...Ch. 10.2 - 10.85 and 10.86 Cart B, which weighs 75 kN, rolls...Ch. 10.2 - 10.87 and 10.88 Collar A can slide freely on the...Ch. 10.2 - 10.87 and 10.88 Collar A can slide freely on the...Ch. 10.2 - Prob. 10.89PCh. 10.2 - A vertical bar AD is attached to two springs...Ch. 10.2 - Rod AB is attached to a hinge at A and to two...Ch. 10.2 - Rod AB is attached to a hinge at A and to...Ch. 10.2 - Two bars are attached to a single spring of...Ch. 10.2 - Prob. 10.94PCh. 10.2 - The horizontal bar BEH is connected to three...Ch. 10.2 - The horizontal bar BEH is connected to three...Ch. 10.2 - Bars AB and BC, each with a length l and of...Ch. 10.2 - Prob. 10.98PCh. 10.2 - Prob. 10.99PCh. 10.2 - Prob. 10.100PCh. 10 - Determine the vertical force P that must be...Ch. 10 - Determine the couple M that must be applied...Ch. 10 - Determine the force P required to maintain...Ch. 10 - Derive an expression for the magnitude of the...Ch. 10 - Derive an expression for the magnitude of the...Ch. 10 - A vertical load W is applied to the linkage at B....Ch. 10 - A force P with a magnitude of 240 N is applied to...Ch. 10 - Two identical rods ABC and DBE are connected bya...Ch. 10 - Solve Prob. 10.108 assuming that the 24-lb load...Ch. 10 - Two uniform rods each with a mass m and length...Ch. 10 - A homogeneous hemisphere with a radius r isplaced...Ch. 10 - A homogeneous hemisphere with a radius r isplaced...
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- Two rods AC and CE are connected by a pin at C and by a spring AE . The constant of the spring is k , and the spring is unstretched when θ = 30°. For the loading shown, derive an equation in P,θ ,I, and k that must be satisfied when the system is in equilibrium.arrow_forwardTwo bars AB and BC of negligible weight are attached to a single spring of constant k that is unstretched when the bars are horizontal. Determine the range of values of the magnitude P of two equal and opposite forces P and -P for which the equilibrium of the system is stable in the position shown.arrow_forwardP A P C HINT: Collar A is in equilibrium 20.5 20 4+₂5 50 lb Free Body: Collar A 150 lb A 20 in. PROBLEM 2.63 Collar A is connected as shown to a 50-lb load and can slide on a frictionless horizontal rod. Determine the magnitude of the force P required to maintain the equilibrium of the collar when (a) x=4.5 in., (b) x=15 in. Where does N come from? What is it?arrow_forward
- The control rod CE passes through a horizontal hole in the body of the toggle system shown. Knowing that link BD is 250 mm long, determine the force Q required to hold the system in equilibrium when β= 20°.arrow_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 Sample Prob. 4.5, assuming that the spring is unstretched when 0 = 90°.(Reference to Sample Problem 4.5):arrow_forward
- A spring AB of constant k is attached to two identical gears as shown. Knowing that the spring is undeformed when 0= 0, determine two values of the angle 0 corresponding to equilibrium when P= 30 lb, a= 4 in., b= 3 in., r= 6 in., and k= 5 lb/in. State in each case whether the equilibrium is stable, unstable, or neutral.arrow_forwardB8arrow_forwardTwo rods of negligible weight are attached to drums of radius r that are connected by a belt and spring of constant k . Knowing that the spring is undeformed when the rods are vertical, determine the range of values of P for which the equilibrium position 01=02 =0 = 0 is stable.arrow_forward
- Knowing that the constant of spring CD is k ABC is horizontal, determine the value of 0 corresponding to equilibrium for the data indicated.P= 300 N, I= 400 mm, and k= 5 kN/marrow_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_forwardDetermine 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_forward
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