Statics and Mechanics of Materials
2nd Edition
ISBN: 9780073398167
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek
Publisher: McGraw-Hill Education
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Chapter 4.4, Problem 84P
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Develop a general equation to demonstrate a system that is comprised of 4 forces at equilibrium. Furthermore demonstrate this as components in terms of x and y
Knowing that P= 100 N, determine the range of values of θ for which equilibrium of the 7.5-kg block is maintained.
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150
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M-
150
mm
60°
30°
320 N
160
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400 N
Chapter 4 Solutions
Statics and Mechanics of Materials
Ch. 4.1 - For the beam and loading shown, determine (a) the...Ch. 4.1 - A 3200-lb forklift truck is used to lift a 1700-lb...Ch. 4.1 - A gardener uses a wheelbarrow to transport a 250-N...Ch. 4.1 - A load of lumber of weight W=25 kN is being raised...Ch. 4.1 - Three loads are applied as shown to a light beam...Ch. 4.1 - Three loads are applied as shown to a light beam...Ch. 4.1 - For the beam and loading shown, determine the...Ch. 4.1 - Prob. 8PCh. 4.1 - Prob. 9PCh. 4.1 - The lever BCD is hinged at C and attached to a...
Ch. 4.1 - The lever BCD is hinged at C and attached to a...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - Determine the reactions at A and B when...Ch. 4.1 - Prob. 14PCh. 4.1 - Prob. 15PCh. 4.1 - Prob. 16PCh. 4.1 - A light bar AD is suspended from a cable BE and...Ch. 4.1 - Prob. 18PCh. 4.1 - Prob. 19PCh. 4.1 - Two slots have been cut in plate DEF, and the...Ch. 4.1 - A 6-m telephone pole weighing 1600 N is used to...Ch. 4.1 - Prob. 22PCh. 4.1 - For the and crate of Prob. 4.22 and assuming that...Ch. 4.1 - A tension of 20 N is maintained in a tape as it...Ch. 4.1 - The bracket ABC can be supported in the eight...Ch. 4.1 - Eight identical 500750-mm rectangular plates, each...Ch. 4.2 - Determine the reactions at B and C when a=30mm.Ch. 4.2 - Prob. 28PCh. 4.2 - A 12-ft wooden beam weighing 80 lb is supported by...Ch. 4.2 - Prob. 30PCh. 4.2 - One end of rod AB rests in the comer A and the...Ch. 4.2 - Using the method of Sec. 4.2B, solve Prob. 4.12.Ch. 4.2 - Prob. 33PCh. 4.2 - A 40-lb roller of 8-in. diameter, which is to be...Ch. 4.2 - Member ABC is supported by a pin and bracket at B...Ch. 4.2 - Prob. 36PCh. 4.2 - Prob. 37PCh. 4.2 - For the frame and loading shown, detennine the...Ch. 4.2 - For the boom and loading shown, determine (a) the...Ch. 4.2 - A slender rod BC of length L and weight W is held...Ch. 4.2 - Prob. 41PCh. 4.2 - Prob. 42PCh. 4.2 - Prob. 43PCh. 4.2 - Prob. 44PCh. 4.2 - Solve Prob. 4.44, assuming that the 170-N force...Ch. 4.2 - Prob. 46PCh. 4.2 - Prob. 47PCh. 4.2 - Prob. 48PCh. 4.2 - Prob. 49PCh. 4.2 - Prob. 50PCh. 4.3 - Two transmission belts pass over a double-sheaved...Ch. 4.3 - Solve Prob. 4.51, assuming that the pulley rotates...Ch. 4.3 - A 48-ft sheet of plywood weighing 40 lb has been...Ch. 4.3 - Prob. 54PCh. 4.3 - Prob. 55PCh. 4.3 - Prob. 56PCh. 4.3 - Prob. 57PCh. 4.3 - Prob. 58PCh. 4.3 - Prob. 59PCh. 4.3 - Prob. 60PCh. 4.3 - A 48-in. boom is held by a ball-and-socket joint...Ch. 4.3 - Prob. 62PCh. 4.3 - The 6-m pole ABC is acted upon by a 455-N force as...Ch. 4.3 - A 600-lb crate hangs from a cable that passes over...Ch. 4.3 - The horizontal platform ABCD weighs 60 lb and...Ch. 4.3 - Prob. 66PCh. 4.3 - Prob. 67PCh. 4.3 - Prob. 68PCh. 4.3 - A 10-kg storm window measuring 9001500 mm is held...Ch. 4.3 - Prob. 70PCh. 4.3 - Prob. 71PCh. 4.3 - Solve Prob. 4.69, assuming that the hinge at A has...Ch. 4.3 - Prob. 73PCh. 4.3 - Three rods are welded together to form a corner...Ch. 4.4 - Determine whether the block shown is in...Ch. 4.4 - Prob. 76PCh. 4.4 - Determine whether the block shown is in...Ch. 4.4 - Prob. 78PCh. 4.4 - Prob. 79PCh. 4.4 - Prob. 80PCh. 4.4 - Prob. 81PCh. 4.4 - Prob. 82PCh. 4.4 - Prob. 83PCh. 4.4 - Knowing that P=100N, determine the range of values...Ch. 4.4 - A 120-lb cabinet is mounted on casters that can be...Ch. 4.4 - Prob. 86PCh. 4.4 - A 40-kg packing crate must be moved to the left...Ch. 4.4 - A 40-kg packing crate is pulled by a rope as...Ch. 4.4 - Prob. 89PCh. 4.4 - Prob. 90PCh. 4.4 - Prob. 91PCh. 4.4 - Prob. 92PCh. 4.4 - Prob. 93PCh. 4.4 - Prob. 94PCh. 4.4 - Prob. 95PCh. 4.4 - Prob. 96PCh. 4.4 - The cylinder shown is of weight W and radius r,...Ch. 4.4 - Prob. 98PCh. 4 - A T-shaped bracket supports the four loads shown....Ch. 4 - Neglecting friction and the radius of the pulley,...Ch. 4 - Member ABC is supported by a pin and bracket at B...Ch. 4 - Prob. 102RPCh. 4 - Prob. 103RPCh. 4 - Prob. 104RPCh. 4 - Prob. 105RPCh. 4 - Prob. 106RPCh. 4 - Prob. 107RPCh. 4 - Prob. 108RPCh. 4 - Prob. 109RPCh. 4 - Two 10-lb blocks A and B are connected by a...
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- Determine the value of a for which the magnitude of the reaction at B is equal to 800 N.arrow_forward4. Determine the range of P for which the system of two blocks will be in equilibrium. Friction is negligible except for the surface under block B. 30° B 80 lb H,= 0.2- 120 lbarrow_forwardKnowing that 0= 40°, determine the smallest force P for which equilibrium of the 7.5-kg block is maintained.arrow_forward
- Plot the variation of the maximum weight of the cylinder F for the system to remain in equilibrium (a) when 0 varies from 0° to 45° and the weight of the cylinder E is 30 lb (b) when weight of the cylinder E varies from 10 lb to 60 lb and 0 = 15°. J. D 30 45 E Farrow_forwardIf the homogenous rod in equilibrium weighs 58ON, determine the magnitude (kN) of the reaction at A. Express your answers in 2 decimal places. Disregard the sign (+ or -) of your submitted answer. soKN 1ookN A T20kN 20 kNarrow_forwardand the angle e represents the equilibrium state. Draw the free-body diagram of the pulley C. Neglect the size of the pulley. The motor at B winds up the cord attached to the 30-kg crate with a constant speed. The force in cord CD supports the pulley C 54 ll Y:10 2_5303180683705846622.pdf 1312arrow_forward
- 1. DETERMINE THE FORCE OF P AND THE REACTION P= N=arrow_forwardA vertical load W is applied to the linkage at B. The constant of the spring is k and the spring is unstretched when AB and BC are horizontal. Neglecting the weight of the linkage, derive an equation in 0, W, l, and k that must be satisfied when the linkage is in equilibrium.arrow_forwardFor W = 800 N, P=200 N, and d= 600 mm, determine the value of h consistent with equilibrium.arrow_forward
- If the system shown is to be in equilibrium, determine the following: (a) the tension in cable ABC, (b) the force P acting at Hook C, (c) the weight of block A, and (d) the magnitude of the force F. The change in length of Spring 1 is equal to 0.12 ft. Force P is 1/2 the magnitude of the compressive force in spring 2. The compressive force in spring 3, is 1/3 the magnitude of the force in spring 2. The weight of Block G is 1000 lb and the spring constant for all springs is 7000 lb/ft.arrow_forward5. Determine the tension developed in cable AD to have the tower in equilibrium if the tension in cable AB is 1600 lb, and the tension in cable AC is 1200 lb. 30 ft 10 ft 10 ft В 15 ft 15 ft 12.5 ftarrow_forwardA force P with a magnitude of 240 N is applied to end E of cable CDE , which passes under pulley D and is attached to the mechanism at C . Neglecting the weight of the mechanism and the radius of the pulley, determine the value of 0 corresponding to equilibrium. The constant of the spring is k= 4 kN/m, and the spring is unstretched when 0= 90°.arrow_forward
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