Vector Mechanics for Engineers: Statics and Dynamics
12th Edition
ISBN: 9781259977251
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
supported by a cable placed at 3 m before the end of the beam.
Determine the tension in the supporting cable.
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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 and Dynamics
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 - Prob. 10.4PCh. 10.1 - Prob. 10.5PCh. 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 - Solve Prob. 10.10, assuming that the force P...Ch. 10.1 - Prob. 10.12PCh. 10.1 - Prob. 10.13PCh. 10.1 - Prob. 10.14PCh. 10.1 - Prob. 10.15PCh. 10.1 - 10.15 and 10.16 Derive an expression for the...Ch. 10.1 - Prob. 10.17PCh. 10.1 - Prob. 10.18PCh. 10.1 - Prob. 10.19PCh. 10.1 - Prob. 10.20PCh. 10.1 - Prob. 10.21PCh. 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 - In Prob. 10.9, knowing that a = 42 in., b = 28...Ch. 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 - Prob. 10.32PCh. 10.1 - Prob. 10.33PCh. 10.1 - Prob. 10.34PCh. 10.1 - Prob. 10.35PCh. 10.1 - Prob. 10.36PCh. 10.1 - Prob. 10.37PCh. 10.1 - Prob. 10.38PCh. 10.1 - Prob. 10.39PCh. 10.1 - Prob. 10.40PCh. 10.1 - Prob. 10.41PCh. 10.1 - The position of boom ABC is controlled by...Ch. 10.1 - Prob. 10.43PCh. 10.1 - Prob. 10.44PCh. 10.1 - Prob. 10.45PCh. 10.1 - Prob. 10.46PCh. 10.1 - Denoting the coefficient of static friction...Ch. 10.1 - Prob. 10.48PCh. 10.1 - Prob. 10.49PCh. 10.1 - Prob. 10.50PCh. 10.1 - Prob. 10.51PCh. 10.1 - Prob. 10.52PCh. 10.1 - Prob. 10.53PCh. 10.1 - Prob. 10.54PCh. 10.1 - Prob. 10.55PCh. 10.1 - Prob. 10.56PCh. 10.1 - Prob. 10.57PCh. 10.1 - Determine the horizontal movement of joint C if...Ch. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.29....Ch. 10.2 - Prob. 10.60PCh. 10.2 - Prob. 10.61PCh. 10.2 - Prob. 10.62PCh. 10.2 - Prob. 10.63PCh. 10.2 - Prob. 10.64PCh. 10.2 - Prob. 10.65PCh. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.38....Ch. 10.2 - Prob. 10.67PCh. 10.2 - Prob. 10.68PCh. 10.2 - Prob. 10.69PCh. 10.2 - Prob. 10.70PCh. 10.2 - Prob. 10.71PCh. 10.2 - Prob. 10.72PCh. 10.2 - Prob. 10.73PCh. 10.2 - Prob. 10.74PCh. 10.2 - A load W of magnitude 144 lb is applied to...Ch. 10.2 - Solve Prob. 10.75, assuming that the spring...Ch. 10.2 - Bar ABC is attached to collars A and B that...Ch. 10.2 - Solve Prob. 10.77, assuming that the spring...Ch. 10.2 - Prob. 10.79PCh. 10.2 - Prob. 10.80PCh. 10.2 - Prob. 10.81PCh. 10.2 - A spring AB of constant k is attached to two...Ch. 10.2 - Prob. 10.83PCh. 10.2 - Prob. 10.84PCh. 10.2 - Prob. 10.85PCh. 10.2 - Prob. 10.86PCh. 10.2 - Prob. 10.87PCh. 10.2 - Prob. 10.88PCh. 10.2 - Prob. 10.89PCh. 10.2 - Prob. 10.90PCh. 10.2 - Prob. 10.91PCh. 10.2 - Prob. 10.92PCh. 10.2 - Prob. 10.93PCh. 10.2 - Prob. 10.94PCh. 10.2 - Prob. 10.95PCh. 10.2 - Prob. 10.96PCh. 10.2 - Bars AB and BC, each with a length l and of...Ch. 10.2 - Solve Prob. 10.97 knowing that l = 30 in. and k =...Ch. 10.2 - Bars AB and CD, each of length l and of negligible...Ch. 10.2 - Solve Prob. 10.99, assuming that the vertical...Ch. 10 - Determine the vertical force P that must be...Ch. 10 - Determine the couple M that must be applied...Ch. 10 - Prob. 10.103RPCh. 10 - Prob. 10.104RPCh. 10 - Prob. 10.105RPCh. 10 - Prob. 10.106RPCh. 10 - Prob. 10.107RPCh. 10 - Prob. 10.108RPCh. 10 - Prob. 10.109RPCh. 10 - Prob. 10.110RPCh. 10 - Prob. 10.111RPCh. 10 - Prob. 10.112RP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The 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_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_forwardArm 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_forward
- A slender bar of length L = 400 mm is held in equilibrium, with one end touching a frictionless wall and the other end attached to a wire of length S = 600 mm as illustrated. Knowing that the weight of the bar is 147 N (which acts at the mid-length of the bar), determine: a. the distance h. b. the tension in the wire. c. the reaction at B. C. Вarrow_forwardPROBLEM 1: The 1500-kg beam ABC has fixed support at A and connected to beam BD by hinge at B. Beam BD has a mass of 2000 kg and supported by a cable at D. The cable is attached to the 20-cm-diameter pulley at E and pulled vertically at the other end, by tension T. Given: a = 1.5 m; b = 0.9 m; c = 1.8 m d = 0.6 m; e = 1.4 m; θ = 75°. Calculate the required tension to maintain in equilibrium. (ANSWER: 12.830KN) Calculate the moment reaction at A. (ANSWER: 28.499) Calculate the total reaction at A. (ANSWER: 22.192) Calculate the vertical reaction at E. (ANSWER: 25.223)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_forward
- The 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_forwardSolve 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.arrow_forwardProblem 5. Two cables are tied together at C and are loaded as shown. Part 1. If W=190 lb, determine the tension (a) in cable AC and (b) in cable BC. Part 2. Determine the range of values for W such that the tension will not exceed 240 lb in either cable. 150 lb -12 in. 15 W 30 in 16 in.arrow_forward
- 1. The 8-ft rod AB and the 6-ft rod BC are hinged at B and supported by cable DE and by ball-and-socket joints at A and C. Knowing that h = 3 ft, determine the tension in the cable for the loading shown. 6 ft- E D 2 ft G K B 210 lb C 3 ft 3 ft xarrow_forwardFor the shown frame and loads P=756 KN and Q=1512 KN, - 3 m 1.5 m 1 m 8 m 6 m magnitude of y-component of reaction at B (KN) a. 168 b. 210 C. 252 d. 262.5 e. 294 magnitude of x-component of reaction at B (KN) a. 6552 b. 4368 с. 5460 d. 2184 e. 7644 magnitude of x-component of reaction at C (KN) magnitude of y-component of reaction at C (KN) magnitude of y-component of reaction at A (KN)arrow_forwardSolve Prob. 6.39 for P = 0 and Q = (-900 N)k.(Reference to Problem 6.39):The truss shown consists of nine members and is supported by a ball-and-socket at B , a short link at C , and two short links at D. (a) Check that this truss is a simple truss, that it is completely constrained, and that the reactions at its supports are statically determinate. (b) Determine the force in each member for P= (-1200 N)j and Q = 0.arrow_forward
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