Explanation Given information: The value of the angle is θ = 70 ° . Calculation: Show the free-body diagram of the boom assembly as in Figure 1. Find the vertical distance ( y A ) using the relation. y A = 4.5 cos θ Differentiate the equation. δ y A = − 4.5 sin θ δ θ Substitute 70 ° for θ . δ y A = − 4.5 sin 70 ° δ θ = − 4.22862 δ θ Find the distance BD using the relation. ( B D ) 2 = ( B C ) 2 + ( C D ) 2 − 2 ( B C ) ( C D ) cos θ Substitute 3 ft for BC and 2 ft for CD . ( B D ) 2 = ( 3 ) 2 + ( 2 ) 2 − 2 ( 3 ) ( 2 ) cos θ = 13 − 12 cos θ (1) Substitute 70 ° for θ in Equation (1). ( B D ) 2 = 13 − 12 cos 70 ° = 8.89576 B D = 2

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ISBN: 9781259977121

Author: BEER

Publisher: MCG

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Chapter 10.1, Problem 10.41P

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Find the force exerted by the hydraulic cylinder on pin B.

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Chapter 10.1, Problem 10.40P

Chapter 10.1, Problem 10.42P

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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. 10.3P Ch. 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. 10.9P Ch. 10.1 - Prob. 10.10P

Ch. 10.1 - Prob. 10.11P Ch. 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. 10.15P Ch. 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. 10.25P Ch. 10.1 - Determine the value of corresponding to...Ch. 10.1 - Prob. 10.27P Ch. 10.1 - Determine the value of corresponding to...Ch. 10.1 - Prob. 10.29P Ch. 10.1 - Two rods AC and CE are connected by a pin at Cand...Ch. 10.1 - 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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. 10.56P Ch. 10.1 - Prob. 10.57P Ch. 10.1 - Prob. 10.58P Ch. 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. 10.64P Ch. 10.2 - Using the method of Sec. 10.2C, solve Prob. 10.37....Ch. 10.2 - Prob. 10.66P Ch. 10.2 - Prob. 10.67P Ch. 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 - 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Find the force exerted by the hydraulic cylinder on pin B .

Solution Summary: The author shows the free-body diagram of the boom assembly as in Figure 1.

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Find the force exerted by the hydraulic cylinder on pin B.

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Chapter 10 Solutions