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 88P
A 40-kg packing crate is pulled by a rope as shown. The coefficient of static fiction between the crate and the floor is 0.35. If
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Problem 4. Determine the smallest force P that must be applied to the 150-lb uniform crate to cause
motion. Consider both sliding and tipping. To receive full credit, you must verify your solution is correct
by checking your assumption that either impending sliding/tipping occurs first. Use µs = 0.35.
2.5 ft
10°
Q2: - The ladder and the person weigh 30 lb and 180 lb, respectively. The center of mass of the 12-ft
ladder is at its midpoint. The angle Assume that the wall is smooth on the ladder.
(a) If what is the magnitude of the friction force exerted on the ladder by the floor as shown in fig 2?
(b) What minimum coefficient of static friction between the ladder and the floor is necessary for the
person to be able to climb to the top of the ladder without slipping?
160
mm
20 ft/s
140 mm
200
40
mm
mm
10
| 40 mm
120
mm
Fig 1
Fig 2
Fig 3
While digging a small hole prior to planting a tree, a homeowner encounters rocks. If he exerts a horizontal 242-N force on the prybar
as shown, what is the horizontal force exerted on rock C? Note that a small ledge on rock C supports a vertical force reaction there.
Neglect friction at B. Complete solutions (a) including and (b) excluding the weight of the 17-kg prybar.
242 N
A,
1750 mm
15
B
220 mm
Answers:
(a) Including weight, Fc =
i
N
(a) Excluding weight, Fc = i
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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- A uniform 80-ft pipe that weighs 960 lb is supported entirely by a cable AB of negligible weight. Determine the length of the cable and the maximum force in the cable. (Hint: First locate the point O where the cable is tangent to the pipe.)arrow_forwardThe uniform, 20-kg bar is placed between two vertical surfaces. Assuming sufficient friction at A to support the bar, find the magnitudes of the reactions at A and B.arrow_forwardThe block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.arrow_forward
- Find the largest value of b/h at which the folding table is in equilibrium. The coefficients of static friction are 0.5 at A and 0.3 at C. Neglect the weight of the table.arrow_forwardA 82-lb sheet of plywood rests on two small wooden blocks as shown. It is allowed to lean 30° from the vertical under the action of a force P which is perpendicular to the sheet. Friction at all surfaces of blocks A and B is sufficient to prevent slipping. Determine the magnitude P and the vertical reaction forces at A and B. 4.0 P= 1.5 Answers: 20.5 A₂ = B₂- i 28.3 434 4.3 DE=2.9 ft d Modis lb 2.2' lb lb B -30°arrow_forwardDetermines the forces and moments developed in the case of the loaded structure shown in Fig. below. A 45° -4 m 2.5 kN 60° 6 m 4 kNm B D 3 marrow_forward
- frictionless cylinders A = 2.0 kg and B= 1.0kg. Force P is the smallest force that will lift cylinder A off the horizontal surface. radius of b = 9.95 m 1. Determine the value of P. 2. What is the angle of the tangent line at the point of tangency of the two cylinders.arrow_forwardQ4.) 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 ftarrow_forwardNOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A 50-lb ladder rests against a wall when the bottom begins to slide out. The ladder is 35-ft long and the coefficient of kinetic friction between the ladder and all surfaces is 0.2. Take 0 = 40°. Determine the forces at A and B. The force at A is The force at B is lb z lb &arrow_forward
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