VECTOR MECHANICS FOR ENGINEERS: STATICS
12th Edition
ISBN: 9781260912814
Author: BEER
Publisher: MCG
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Chapter 10.1, Problem 10.16P
10.15 and 10.16
Derive an expression for the magnitude of the couple M required to maintain the equilibrium of the linkage shown.
Fig. P10.16
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The pin at C is attached to member BCD and can slide along a slot cut in the fixed plate shown. Neglecting the effect of friction, derive an expression for the magnitude of the couple M required to maintain equilibrium when the force P that acts at D is directed (a) as shown, (b) vertically downward, (c) horizontally to the right.Fig. P10.18
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 N
For the shown frame and loads P=972 KN and Q=1944 KN,
3 m 3 m→
B
1.5 m
A
1 m
8 m
6 m
magnitude of y-component of reaction at B (KN)
a. 216
b. 270
c. 324
d. 337.5
е. 378
magnitude of x-component of reaction at B (KN)
a. 5616
b. 2808
c. 7020
d. 8424
e. 9828
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)
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_forwardTwo rods are connected by a slider block as shown. Given: MB= 250 lb-in. MA MB 25° 15 in. A |B 15 in.- Draw the free-body diagram needed to determine the couple MA required to hold the system in equilibrium.arrow_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_forward
- For 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_forwardShow that equilibrium is neutral in Prob. 10.7.Reference to Problem 10.7:arrow_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.arrow_forward
- Problem 5 FN 4.5N K 20 B. 60 7.5N A small ring Pis threaded on a fixed smooth horizontal rod AB. Three horizontal forces of magnitudes 4.5N, 7.5N and FN act on P (see diagram). () Given that these three forces are in equilibrium, find the values of F and 0. (i) It is given instead that the values of F and 0 are 9.5 and 30 respectively, and the acceleration of the ring is 1.5 ms. Find the mass of the ring.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_forwardProblem 1. Obtain the magnitude and orientation of the reactions at points A, B and C of the continuous beam shown. Joint B represents a plastic internal hinge. The units of length are in feet and the forces are in kilo pounds (Kip)arrow_forward
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