Vector Mechanics for Engineers: Statics and Dynamics
12th Edition
ISBN: 9781259638091
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Chapter 10.1, Problem 10.46P
To determine
Find the force exerted on pin B by the single hydraulic cylinder BD.
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Referring to Prob. 10.45 and using the value found for the force exerted by the hydraulic cylinder BD , determine the change in the length of BD required to raise the platform attached at C by 2.5 in.Reference to Problem 10.45:The telescoping arm ABC is used to provide an elevated platform for construction workers. The workers and the platform together weigh 500 lb, and their combined center of gravity is located directly above C. For the position when 0= 20°, determine the force exerted on pin B by the single hydraulic cylinder BD.
Solve Prob. 6.97 assuming that the 75-kN load has been removed.(Reference to Problem 6.97):The cab and motor units of the front-end loader shown are connected by a vertical pin located 2 m behind the cab wheels. The distance from C to D is 1 m. The center of gravity of the 300-kN motor unit is located at Gm , while the centers of gravity of the 100-kN cab and 75-kN load are located, respectively, at Gc and GI. . Knowing that the machine is at rest with its brakes released, determine (a) the reactions at each of the four wheels, (b) the forces exerted on the motor unit at C and D.
Q.3) A luggage transport truck is used to raise and lower luggage from an aircraft.
A piece of luggage weighing 450 lbs. is supported in the position shown with a
center of gravity at point G. The raising and lowering mechanism are connected to
the truck bed by a pin support at F and a roller support at H, and to the luggage
platform by a pin support at C and a roller support at D. The hydraulic strut AB is
pinned at either end and used to raise and lower the mechanism. Assume the
weight of all members within the mechanism are negligible, that point C is vertically
aligned with F, point D is vertically aligned with H, and that the strut AB is vertically
20maint
oriented.
(a) Determine the support reactions at F and H in the stationary position shown.
(b) Determine the force in the hydraulic strut AB and state whether it is in tension
or compression.
80000000
C
2.5 ft 0.5 ft 3 ft
A
B
F
G
E
H
D
4 ft
4 ft
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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- The telescoping arm ABC is used to provide an elevated platform for construction workers. The workers and the platform together have a mass of 200 kg and have a combined center of gravity located directly above C. For the position when θ=20°, determine (a) the force exerted at B by the single hydraulic cylinder BD, (b) the force exerted on the supporting carriage at A.arrow_forward(a) Show that the beam of Prob. 8.41 cannot be moved if the top surface of the dolly is slightly lower than the platform. (b) Show that the beam can be moved if two 175-lb workers stand on the beam at B , and determine how far to the left the beam can be moved.(Reference to Problem 8.41):A 10-ft beam, weighing 1200 lb, is to be moved to the left onto the platform as shown. A horizontal force P is applied to the dolly, which is mounted on frictionless wheels. The coefficients of friction between all surfaces are μs= 0.30 and μk = 0.25, and initially, x= 2 ft. Knowing that the top surface of the dolly is slightly higher than the platform, determine the force P required to start moving the beam. (Hint: The beam is supported at A and D.)arrow_forward10. The weight of the bicycle depicted below is 29 Ib and its center of gravity is located at point G. Determine the normal reaction forces at locations A and B when the bicycle is in equilibrium. Do NOT convert to S.I. units. 18.5" 22.5"arrow_forward
- The position of boom ABC is controlled by the hydraulic cylinder BD . For the loading shown, determine the force exerted by the hydraulic cylinder on pin B when θ = 70°.arrow_forwardThe 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 Carrow_forward3. The window washers A and B support themselves and the horizontal, uniform platform CD (i.e. the weight of the platform acts at its centre) by pulling down on the two ropes. The pulling force on the rope by the washer B is 567 N. The mass of washer A is 77 kg. Determine the tension in the rope connected at C, the mass of the washer B and the force that each man exerts on the platform. 13.5 kg 3 m 77 kg A bont '0.6 m' B 1.2 m- Darrow_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 all forces acting on member BCD of the linkage shown in Fig. 40 lb 30° D 1.5 ft 2.0 ft 60° B 2.0 ftarrow_forwardQuestion 4 The space (noncoplanar) structure presented is supported by ball-and-socket joints at O and D, and by a slider bearing at C. The two rigid members, OABC and AD, connected by a ball-and-socket joint at A, each have a mass of 75 kg/m. Determine the magnitude of the reaction force components at O and C. 0.9 m D 0.9 m X B A Z 0.9 m 0.9 m с 0.6 m y Answers: Ox = 1.820 kN Oy = 2.72 kN O₂ = -0.77 kN Cx = -1.820 kN Cz = 0.33 kNarrow_forward
- Practice Problem 4.4.14: Determine the force in the hydraulic cylinder EF that would maintain the parallelogram mechanism in the position shown. 0.6 ft 200 lb 3,75 ft 30 0.75 ft 0.75 ft 2 ft Earrow_forwardQuestion 4: (a) (i) State the Principle of Moment (Varignon's Theorem). (ii) Prove that the moment of a couple is the same about any axis perpendicular to the plane of action of the couple. (b) A uniform rod Whose centre of gravity G divides it into the ratio AG : GB = a :b is in limiting equilibrium at an angle a with the horizontal with its upper end B resting against a smooth peg and its lower end A attached to a light cord, which is fastened to a point C on the same level as B. Prove that the angle B at which the cord is inclined to the horizontal is given by the equation a+b b tanß = tana cot a a a Question 5: (a) From Lesotho Bank tower an object was observed on the ground at a depression o below the horizon. A gun was fired at an elevation a, but the shot missing the object, stuck the ground at a point whose depression was y. Prove that the correct elevation 0 of the gun is given by sin(20 +0) + sin(o) sin(2a+0) + sin(o) sin y (1+ cos(20)) sin o (1+cos(2y))arrow_forwardPractice Problem 4.4.14: Determine the force in the hydraulic cylinder EF that would maintain the parallelogram mechanism in the position 0.6 ft shown. | 200 lb OB 3.75 ft 30 0.75 ft 0.75 ft 2 ftarrow_forward
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