<LCPO> VECTOR MECH,STAT+DYNAMICS
12th Edition
ISBN: 9781265566296
Author: BEER
Publisher: MCG
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Textbook Question
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
<LCPO> VECTOR MECH,STAT+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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- 6 .129arrow_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
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