Vector Mechanics for Engineers: Statics
12th Edition
ISBN: 9781260501735
Author: BEER
Publisher: MCG
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Chapter 10.1, Problem 10.9P
To determine
Show the tension T in the cable AE in terms of W, a, b, and
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A 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=376 N, determine P and Q. (Hint: The tension is the same in both portions of cable BAC.)
Problem 7: (
The beam of 15 m length and mass of 530 Kg is connected to the vertical wall by a hinge and is
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47
68°
The L-shaped member ACB is supported by a pin and bracket at C and by an inextensible cord attached at A and B and passing over a frictionless pulley at D. The tension may be assumed to be the same in portions AD and BD of the cord. If the magnitudes of the forces applied at A and B are, respectively, P = 25 lb and Q = 0, determine (a) the tension in the cord, (b) the reaction at C
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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- Required information Problem 06.123 - Toggle vise - DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A 260-lb force P directed vertically downward is applied to the toggle vise at C. Also, link BD is 6 in. long and take a = 4 in. P B 15° 6 in. Problem 06.123.b - Toggle vise DE Determine the horizontal force exerted on block E. The horizontal force exerted on block Eis lb. →arrow_forwardSolve it correctly please. Iarrow_forwardThe two-bar linkage shown is supported by a pin and bracket at B and a collar at D that slides freely on a vertical rod. Determine the force P required to maintain the equilibrium of the linkage.arrow_forward
- In the structure shown, force F is applied at point A at an angle of 0 in the direction shown. Pins at G, E, D, B, and C are all frictionless and all members are weightless. For the given values of F and 0 determine: F = 50 N e= 20 deg A G (a) The reactions at points G and E (b) The forces applied to member GDC at points C and D (c) The forces applied to member ABC at point B 70 m 50 m E D B Note: components of forces in x and y directions are enough. 15 m YA 60 m 20m-arrow_forwardQ.1 For the instant of the Proell governor mechanism shown below, the tension in the lower link will be [weight of ball is 30 N and weight of sleeve is 80 N] N. 240 mm 208 mm A Carrow_forwardProblem 10.2: A thin bar of length I is attached to a collar at B and rests at C on a portion of the circular cylinder of radius r. Neglecting friction, determine the value of 0 that corresponds to the equilibrium position given that Q = 2P and r = 0.3, 1 = 200 mm,P = 40N C p. Barrow_forward
- Arm ABC is connected by pins to a collar at B and to crank CD at C Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium 'when 0= 0.Fig.P6.133arrow_forwardDraw the free-body diagram of the foot lever shown in Fig.1. The operator applies a vertical force to the pedal so that the spring is stretched 1.5 in. and the force on the link at B is 20 lb.arrow_forwardIn the structure shown, force F is applied at point A at an angle of e in the direction shown. Pins at G, E, D, B, and C are all frictionless and all members are weightless. For the given values of F and e determine: F= 100 N 0 = 10 deg A G (a) The reactions at points G and E (b) The forces applied to member GDC at points C and D (c) The forces applied to member ABC at point B 70 m 50 m E D B Note: components of forces in x and y directions are enough. 15 m YA 60 m 20marrow_forward
- For β=30 degrees , determine: a) the tension in the cable, b) the reactions at A and B. Assume that the bearing at B does not exert any axial thrust. (Do not forget to include a free body diagram)arrow_forwardMp Fig. P8.126 8.127 Solve Prob. 8.126 assuming that u = 75°. B 8.128 The 10-lb bar AE is suspended by a cable that passes over a 5-in.- radius drum. Vertical motion of end E of the bar is prevented by the two stops shown. Knowing that m, = 0.30 between the cable and the drum, determine (a) the largest counterclockwise couple M, that can be applied to the drum if slipping is not to occur, (b) the corresponding force exerted on end E of the bar. A E 10 lb 5 in. 5 in. 3 in. Fig. P8.128arrow_forwardThe uniform 10 kg rod AB is supported by a ball and socket joint at A and by the cord CG that is attached to the midpoint G of the rod. Knowing that the rod leans against a frictionless vertical wall at B and that the tension in the cord CG, TCG=52.1 N, determine the following a.) Which of the following best shows the equivalent force-couple set at point A of the tension at cord CG, TCG? Choices: a F= -36.8 N i + 24.5 N j - 27.6 N k M = -7.36 Nm i - 11.03 Nm j b F= -36.8 N i + 24.5 N j - 27.6 N k M = -7.36 Nm i - 29.4 Nm k c F= 36.8 N i - 24.5 N j + 27.6 N k M = 7.36 Nm i + 11.03 Nm j d F= 36.8 N i - 24.5 N j + 27.6 N k M = 7.36 Nm i + 29.4 Nm k b.) Which of the following moments is equal to zero? Choices: The moment of the tension in cord CG, TCG about point OThe moment of the tension in cord CG, TCG about point AThe moment of the tension in cord CG, TCG about point BThe moment of the tension in cord CG, TCG about axis ABarrow_forward
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