Vector Mechanics for Engineers: Statics, 11th Edition
Vector Mechanics for Engineers: Statics, 11th Edition
11th Edition
ISBN: 9780077687304
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek
Publisher: McGraw-Hill Education
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Chapter 4, Problem 4.142RP

A 3200-lb forklift truck is used to lift a 1700-lb crate. Determine the reaction at each of the two (a) front wheels A, (b) rear wheels B.

Chapter 4, Problem 4.142RP, A 3200-lb forklift truck is used to lift a 1700-lb crate. Determine the reaction at each of the two

(a)

Expert Solution
Check Mark
To determine

The reaction at each of the two front wheels A.

Answer to Problem 4.142RP

The reaction at each of the two front wheels A is 1761 lb .

Explanation of Solution

The free-body diagram is shown in figure 1.

Vector Mechanics for Engineers: Statics, 11th Edition, Chapter 4, Problem 4.142RP

The weight of the truck is 3200 lb and it is lifting 1700lb crate. The distance at which force acting from the rear wheels are marked in figure 1. Let A be the reaction at one of the front wheel hence, the total reaction across two wheels is 2A.

The reaction at A is acting in the upward direction. The wheel is rotating and there is a torque, which is the product of force acting and perpendicular distance. The moment about B is responsible for the reaction at the front wheel.

Write the expression for the moment at B

MB=F×D (I)

Here, MB is the moment at B, F is the force, and D is the perpendicular distance between the B and the point where force is experienced.

Under equilibrium, the moment about B will balances and sum of all forces will be zero.

ΣMB=(W1×d1)+(W2×d2)(2A×d3) =0 (II)

Here, W1 is the magnitude of the weight of the crate, W2 is the magnitude of the weight of the truck, d1 is the distance from crate to rear wheels, d2 is the distance from center of gravity to rear wheels, d3 is the distance between front and rear wheels, and A is the magnitude of the reaction at a front wheel.

Calculation:

Substitute 1700lb for W1, 52in. for d1, 3200lb for W2 , 110in. for d2, and 36in. for d3 in equation (II) and rearrange to obtain A

ΣMB=(1700 lb)(52 in)+(3200 lb)(12 in)2A(36 in)=0A=(1700lb×52in.)+(3200lb×12in.)(36in)×2=+1761lbA=1761 lb

Therefore, the reaction on each front wheel is A=+1761lb_.

(b)

Expert Solution
Check Mark
To determine

The reaction at each of the two rear wheels.

Answer to Problem 4.142RP

The reaction at each of the rear wheels is +689lb_.

Explanation of Solution

Refer to figure 1.

Let B be the reaction at one of the rear wheel hence, the total reaction across two wheels is 2B.

The reaction at B is acting in the upward direction. Under equilibrium, the net force in the y direction will be equal to zero.

+ΣFy=0 (III)

Here, ΣFy is the net force in the y direction.

Write the expression for the net force.

+ΣFy=W1W2+2A+2B

Here, W1 is the magnitude of the weight of the crate, W2 is the magnitude of weight of the truck, A is the magnitude of reaction at the front wheel and B is the magnitude of reaction at the rear wheels.

Put the above equation in equation (III).

W1W2+2A+2B=0 (IV)

Calculation:

Substitute 1700lb for W1, 3200lb for W2 and 1761lb for A in the equation (IV) and rearrange to obtain B .

(1700lb)(3200lb)+2(1761lb)+2B=0B=1378 lb2=689 lbB=689 lb

Therefore, the reaction on each rear wheel is +689lb_.

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Chapter 4 Solutions

Vector Mechanics for Engineers: Statics, 11th Edition

Ch. 4.1 - 4.7 A T-shaped bracket supports the four loads...Ch. 4.1 - 4.8 For the bracket and loading of Prob. 4.7,...Ch. 4.1 - Three loads are applied as shown to a light beam...Ch. 4.1 - 4.10 Three loads are applied as shown to a light...Ch. 4.1 - 4.11 For the beam of Prob. 4.10, determine the...Ch. 4.1 - For the beam of Sample Prob. 4.2, determine the...Ch. 4.1 - The maximum allowable value of each of the...Ch. 4.1 - For the beam and loading shown, determine the...Ch. 4.1 - Prob. 4.15PCh. 4.1 - Prob. 4.16PCh. 4.1 - Prob. 4.17PCh. 4.1 - Prob. 4.18PCh. 4.1 - The bracket BCD is hinged at C and attached to a...Ch. 4.1 - The ladder AB, of length L and weight W, can be...Ch. 4.1 - 4.21 The 40-ft boom AB weighs 2 kips; the distance...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - 4.23 and 4.24 For each of the plates and loadings...Ch. 4.1 - 4.23 and 4.24 For each of the plates and loadings...Ch. 4.1 - A rod AB, hinged at A and attached at B to cable...Ch. 4.1 - Fig. P4.25 and P4.26 4.26 A rod AB, hinged at A...Ch. 4.1 - Prob. 4.27PCh. 4.1 - Determine the reactions at A and C when (a) = 0,...Ch. 4.1 - Prob. 4.29PCh. 4.1 - Prob. 4.30PCh. 4.1 - Neglecting friction, determine the tension in...Ch. 4.1 - Fig. P4.31 and P4.32 4.32 Neglecting friction,...Ch. 4.1 - PROBLEM 4.33 A force P of magnitude 90 lb is...Ch. 4.1 - PROBLEM 4.34 Solve Problem 4,33 for a = 6 in,...Ch. 4.1 - Bar AC supports two 400-N loads as shown. 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Find...Ch. 4.3 - 4.94 A 4 × 8-ft sheet of plywood weighing 34 lb...Ch. 4.3 - A 250 400-mm plate of mass 12 kg and a...Ch. 4.3 - Solve Prob. 4.95 for = 60. 4.95 A 250 400-mm...Ch. 4.3 - 4.97 The 20 × 20-in. square plate shown weighs 56...Ch. 4.3 - 4.98 The 20 × 20-in. square plate shows weighs 56...Ch. 4.3 - An opening in a floor is covered by a 1 1.2-m...Ch. 4.3 - PROBLEM 4.100 Solve Problem 4.99, assuming that...Ch. 4.3 - PROBLEM 4.101 Two steel pipes AB and BC, each...Ch. 4.3 - PROBLEM 4.102 For the pipe assembly of Problem...Ch. 4.3 - PROBLEM 4.103 The 24-lb square plate shown is...Ch. 4.3 - PROBLEM 4.104 The table shown weighs 30 lb and has...Ch. 4.3 - PROBLEM 4.105 A 10-ft boom is acted upon by the...Ch. 4.3 - PROBLEM 4.106 The 6-m pole ABC is acted upon by a...Ch. 4.3 - PROBLEM 4.107 Solve Problem 4.106 for a = 1.5 m....Ch. 4.3 - Prob. 4.108PCh. 4.3 - Prob. 4.109PCh. 4.3 - Prob. 4.110PCh. 4.3 - PROBLEM 4.111 A 48-in. boom is held by a...Ch. 4.3 - PROBLEM 4.112 Solve Problem 4.111, assuming that...Ch. 4.3 - PROBLEM 4.114 The bent rod ABEF is supported by...Ch. 4.3 - Prob. 4.114PCh. 4.3 - The horizontal platform ABCD weighs 60 lb and...Ch. 4.3 - PROBLEM 4.116 The lid of a roof scuttle weighs 75...Ch. 4.3 - PROBLEM 4.117 A 100-kg uniform rectangular plate...Ch. 4.3 - Solve Prob. 4.117, assuming that cable DCE is...Ch. 4.3 - PROBLEM 4.119 Solve Prob. 4.113, assuming that the...Ch. 4.3 - PROBLEM 4.120 Solve Prob. 4.115, assuming that the...Ch. 4.3 - PROBLEM 4.121 The assembly shown is used to...Ch. 4.3 - PROBLEM 4.122 The assembly shown is welded to...Ch. 4.3 - 4.123 The rigid L-shaped member ABC is supported...Ch. 4.3 - Prob. 4.124PCh. 4.3 - The rigid L-shaped member ABF is supported by a...Ch. 4.3 - Solve Prob. 4.125, assuming that the load at C has...Ch. 4.3 - Three rods are welded together to form a corner...Ch. 4.3 - Prob. 4.128PCh. 4.3 - Frame ABCD is supported by a ball-and-socket joint...Ch. 4.3 - Prob. 4.130PCh. 4.3 - Prob. 4.131PCh. 4.3 - PROBLEM 4.132 The uniform 10kg rod AB is supported...Ch. 4.3 - The frame ACD is supported by ball-and-socket...Ch. 4.3 - Solve Prob. 4.133, assuming that cable GBH is...Ch. 4.3 - Prob. 4.135PCh. 4.3 - Prob. 4.136PCh. 4.3 - Prob. 4.137PCh. 4.3 - The pipe ACDE is supported by ball-and-socket...Ch. 4.3 - Solve Prob. 4.138, assuming that wire DF is...Ch. 4.3 - Two 2 4-ft plywood panels, each with a weight of...Ch. 4.3 - Solve Prob. 4.140, subject to the restriction that...Ch. 4 - A 3200-lb forklift truck is used to lift a 1700-lb...Ch. 4 - The lever BCD is hinged at C and attached to a...Ch. 4 - Determine the reactions at A and B when (a) h =0,...Ch. 4 - Neglecting friction and the radius of the pulley,...Ch. 4 - PROBLEM 4.146 Bar AD is attached at A and C to...Ch. 4 - PROBLEM 4.147 A slender rod AB, of weight W, is...Ch. 4 - PROBLEM 4.148 Determine the reactions at A and B...Ch. 4 - For the frame and loading shown, determine the...Ch. 4 - PROBLEM 4.150 A 200-mm lever and a 240-mm-diameter...Ch. 4 - The 45-lb square plate shown is supported by three...Ch. 4 - The rectangular plate shown weighs 75 lb and is...Ch. 4 - A force P is applied to a bent rod ABC, which may...
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