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 91P
To determine
The smallest value of
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A 6.5-m ladder AB leans against a wall as shown. Assuming that the coefficient of static friction μs is the same at A and B, determine the smallest value of μs for which equilibrium is maintained.
A 300-lb cabinet is mounted on casters that can be locked to prevent their rotation. The coefficient of static friction between the floor and each caster is 0.23. Assuming that the casters at both A and B are locked, determine (a) the force P required to move the cabinet to the right, (b) the largest allowable value of h if the cabinet is not to tip over.
Q4.) An 8-foot-long uniform slender rod is connected to a 20-lb. block by a cord and pulley system
as shown where LAO = 6 ft. The coefficient of static friction between the block and the surface is
0.6. Determine the range of rod weights for which the system remains in equilibrium. Assume
friction is negligible between the pulleys and the cord. Consider both slipping and tipping.
30°
30°
6 ft
2.5 ft/
B
2 ft
40⁰
3.5 ft
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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- The blocks A and B of weights WA and WB are joined by a rope that passes over the fixed peg C. The coefficients of static friction are =0.2 between block A and the inclined plane, and =0.25 between the rope and the peg. Determine the range of Wb/WA for which the system will be in equilibrium.arrow_forward4. A 300-lb cabinet is mounted on casters that can be locked to prevent their rotation. The coefficient of static friction between the floor and each caster is 0.23. Assuming that the casters at both A and B are locked, determine (a) the force Prequired to move the cabinet to the right, (b) the largest allowable value of h if the cabinet is not to tip over. В 24 in.arrow_forwardAs shown, a man is leaning against the side of a cabinet with an unusual design. The cabinet's main body weighs 25 kg, while the upper rectangular portion weighs 3 kg. Assume the coefficients of friction between the cabinet and the floor are μs = 0.33 and μk = 0.28. Knowing that the force P exerted by the man's shoulder on the horizontal cabinet: 2. Determine which of the following is the CORRECT equilibrium equation obtained from the system's force diagram. A. ΣF = 0: N - 245.25 = 0B. ΣF = 0: P - μ N = 0C. ΣM = 0: 245.25(0.55) + 29.43(0.2) - N(x) - P(1.5) = 0arrow_forward
- The 50-lb plate ABCD is attached at A and D to collars that can slide on the vertical rod. Knowing that the coefficient of static friction is 0.40 between both collars and the rod, determine whether the plate is in equilibrium in the position shown when the magnitude of the vertical force applied at E is (a) P=0, (b)=20 Ib.arrow_forwardBlock A supports a pipe column and rests as shown on wedge B . Knowing that the coefficient of static friction at all surfaces of contact is 0.25 and that θ = 45°, determine the smallest force P required to raise block A. Determine the smallest force P for which equilibrium is maintained.arrow_forwardThe masses of blocks A and B of Fig. 100 kg and mg = 50 kg. If the coefficient of friction is 0.15 for block A and 0.25 for block B, determine the maximum angle o for equilibrium of the blocks. are mA =arrow_forward
- The axle of the pulley is frozen and cannot rotate with respect to the block. Knowing that the coefficient of static friction between cable ABCD and the pulley varies between 0.0 and 0.55, determine (a) the corresponding values of 0 for the system to remain in equilibrium, (b) the corresponding reactions at A and D, and (c) plot 8 versus the coefficient of friction. Hints: i. From Three Force Body Diagram and T -CD 120° T -A6 19 ROP/ B E C F 60° 200 N ii. TAB = ... TCD iii. Use law of Cosines and Sines to Solve for .Tcp then solve for in terms of coefficient of friction.arrow_forwardA half-section of pipe weighing 200 lb is pulled by a cable as shown. The coefficient of static friction between the pipe and the floor is 0.40. If a= 30°, determine (a) the tension T required to move the pipe, (b) whether the pipe will slide or tip.arrow_forwardA clockwise couple M is applied to the circular cylinder as shown. Determine the value of M required to initiate motion for the conditions mg = 4.6 kg, mc - 4.7 kg, (s)B=0.46, (c=0.34, and r=0.21 m. Friction between the cylinder C and the block B is negligible. (s)c Answer: M = mc M mg (₂)B N.marrow_forward
- SITUATION 2: A packing crate of mass 40 kg is pulled by a rope as shown. Knowing that the coefficient of static friction between the crate and the floor is 0.35, answer the following questions: 4. If α = 40°, determine the magnitude of the force P required to move the crate, in N. (ANSWER: 139) 5. If the crate must be moved to the left along the floor without tipping, determine the largest allowable value of α in degrees. (ANSWER: 58)arrow_forwardProblem 3. The weightless bar AB is supported by a rope that passes over a frictionless pulley at C and a fixed peg at D. If the coefficient of static friction between the rope and the peg is µo = 0.3, determine the smallest distance x from the end of the bar at which a 20-N force may be placed and not cause the bar to move. D 20 N B.arrow_forward1. The 20kg cylinder and 50 kg cylinder are connected together using a rope that passes around a rough peg two and a half turns. If the cylinders are on the verge of moving, determine the coefficient of static friction between the rope and the peg.arrow_forward
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