Vector Mechanics for Engineers: Statics
12th Edition
ISBN: 9781259977244
Author: BEER
Publisher: MCG
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Chapter 10.1, Problem 10.25P
To determine
Find the tension T in cable AE for which the door is held in the position.
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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-
PROBLEM 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)
In 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
20m
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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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
- F= 150 N 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 0 = 40 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 ALL WORK MUST BE SHOWN (FBDS, EQUATIONS, etc.). CORRECT ANSWERS WITHOUT CLEAR EVIDENCE OF HOW THEY WERE OBTAINED WILL BE MARKED AS ZERO.arrow_forwardThe structure shown is composed of an AGJ truss and a KLMO truss connected by the AL link. If it is known that P = 2 kN; R = 5kN; a = 1.5 m and b = 2m, determine:to. The value of the force Q, necessary to keep the system in equilibrium.b. The axial loads of the reinforcement elements. (need free body diagrams)arrow_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
- The frame for a sign is fabricated from thin, flat steel bar stock of mass per unit length 4.73 kg/m. The frame is supported by a pin at C and by a cable AB. Determine (a) the tension in the cable, (b) the reaction at C.arrow_forwardClassify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify as determinate or indeterminate. (All members can act both in tension and in compression.)arrow_forwardRequired 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_forward
- The uniform rod AB has a weight of 10KN and is supported by a ball-and-socket joint at A and by the cord GC that is attached to the midpoint G of the rod. Knowing that the rod leans against a frictionless vertical wall at B, do the following: a) Label and name all forces that act on the rod. (You may use the given drawing. Assume the weight of the rod acts at G.) (4) 1.5 m 1.5 m b) Determine the tension force in the cable required to hold the rod in equilibrium (21) 4 m G 3m 0.75 75 m- 6 m.arrow_forwardA 45-lb shelf is held horizontally by a self-locking brace that consists of two parts EDC and CDB hinged at C and bearing against each other at D. Determine the force P required to release the brace.arrow_forwardThe bars ACE and BCD are supported by a pin and slot arrangement at C. ACE is supported by a pin at A, and bar BCD is fixed to the ground at B. а. Draw a FBD of the bar ACE. Determine all support reactions at A, and determine the slot reaction at C. b. Draw a FBD of bar BCD, and determine all the support reactions at B. lolb D ft M = 150 lbft Vイ = Soeb 3 ft W=20lb ft 3 ft B 4 ft 4 ftarrow_forward
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