Vector Mechanics for Engineers: Statics and Dynamics
12th Edition
ISBN: 9781259638091
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 8.3, Problem 8.77P
A lever of negligible weight is loosely fitted onto a 75-mm-diameter fixed shaft. It is observed that the lever will just start rotating if a 3-kg mass is added at C. Determine the coefficient of static friction between the shaft and the lever.
Fig. P8.77
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Chapter 8 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 8.1 - Knowing that the coefficient of friction between...Ch. 8.1 - Two blocks A and B are connected by a cable as...Ch. 8.1 - A cord is attached to and partially wound around a...Ch. 8.1 - A 40-kg packing crate must be moved to the left...Ch. 8.1 - Determine whether the block shown is in...Ch. 8.1 - Determine whether the block shown is in...Ch. 8.1 - Determine whether the block shown is in...Ch. 8.1 - Determine whether the block shown is in...Ch. 8.1 - Knowing that = 45 in Prob. 8.1, determine the...Ch. 8.1 - The 20-lb block A hangs from a cable as shown....
Ch. 8.1 - The 10-kg block is attached to link AB and rests...Ch. 8.1 - Considering only values of less than 90,...Ch. 8.1 - Prob. 8.9PCh. 8.1 - Prob. 8.10PCh. 8.1 - The 50-lb block A and the 25-lb block B are...Ch. 8.1 - The 50-lb block A and the 25-lb block B are...Ch. 8.1 - Three 4-kg packages A, B, and C are placed on a...Ch. 8.1 - Prob. 8.14PCh. 8.1 - A uniform crate with a mass of 30 kg must be moved...Ch. 8.1 - A worker slowly moves a 50-kg crate to the left...Ch. 8.1 - Prob. 8.17PCh. 8.1 - A 200-lb sliding door is mounted on a horizontal...Ch. 8.1 - Prob. 8.19PCh. 8.1 - Prob. 8.20PCh. 8.1 - Prob. 8.21PCh. 8.1 - Prob. 8.22PCh. 8.1 - The 10-lb uniform rod AB is held in the position...Ch. 8.1 - Prob. 8.24PCh. 8.1 - Prob. 8.25PCh. 8.1 - Prob. 8.26PCh. 8.1 - The press shown is used to emboss a small seal at...Ch. 8.1 - The machine base shown has a mass of 75 kg and is...Ch. 8.1 - Prob. 8.29PCh. 8.1 - Prob. 8.30PCh. 8.1 - Prob. 8.31PCh. 8.1 - Prob. 8.32PCh. 8.1 - Prob. 8.33PCh. 8.1 - A driver starts the engine of an automobile that...Ch. 8.1 - Prob. 8.35PCh. 8.1 - Two uniform rods each of weight W and length L are...Ch. 8.1 - A 1.2-m plank with a mass of 3 kg rests on two...Ch. 8.1 - Two identical uniform boards, each with a weight...Ch. 8.1 - A uniform 20-kg tube resting on a loading dock...Ch. 8.1 - Prob. 8.40PCh. 8.1 - A 10-ft beam, weighing 1200 lb, is to be moved to...Ch. 8.1 - (a) Show that the beam of Prob. 8.41 cannot be...Ch. 8.1 - Two 8-kg blocks A and B resting on shelves are...Ch. 8.1 - Prob. 8.44PCh. 8.1 - Prob. 8.45PCh. 8.1 - Two slender rods of negligible weight are...Ch. 8.1 - Two slender rods of negligible weight are...Ch. 8.2 - The machine part ABC is supported by a...Ch. 8.2 - Prob. 8.49PCh. 8.2 - Prob. 8.50PCh. 8.2 - Prob. 8.51PCh. 8.2 - Prob. 8.52PCh. 8.2 - Solve Prob. 8.52 assuming that the end of the beam...Ch. 8.2 - Prob. 8.54PCh. 8.2 - Prob. 8.55PCh. 8.2 - Block A supports a pipe column and rests as shown...Ch. 8.2 - A 200-lb block rests as shown on a wedge of...Ch. 8.2 - Prob. 8.58PCh. 8.2 - Prob. 8.59PCh. 8.2 - Prob. 8.60PCh. 8.2 - Prob. 8.61PCh. 8.2 - An 8 wedge is to be forced under a machine base at...Ch. 8.2 - Prob. 8.63PCh. 8.2 - A 15 wedge is forced under a 50-kg pipe as shown....Ch. 8.2 - A 15 wedge is forced under a 50-kg pipe as shown....Ch. 8.2 - Prob. 8.66PCh. 8.2 - Prob. 8.67PCh. 8.2 - Prob. 8.68PCh. 8.2 - Prob. 8.69PCh. 8.2 - Prob. 8.70PCh. 8.2 - Prob. 8.71PCh. 8.2 - The position of the automobile jack shown is...Ch. 8.2 - Prob. 8.73PCh. 8.2 - Prob. 8.74PCh. 8.2 - In the vise shown, the screw is single-threaded in...Ch. 8.2 - Prob. 8.76PCh. 8.3 - A lever of negligible weight is loosely fitted...Ch. 8.3 - Prob. 8.78PCh. 8.3 - 8.79 and 8.80 The double pulley shown is attached...Ch. 8.3 - Prob. 8.80PCh. 8.3 - 8.81 and 8.82 The double pulley shown is attached...Ch. 8.3 - Prob. 8.82PCh. 8.3 - Prob. 8.83PCh. 8.3 - The block and tackle shown are used to lower a...Ch. 8.3 - Prob. 8.85PCh. 8.3 - Prob. 8.86PCh. 8.3 - Prob. 8.87PCh. 8.3 - 8.87 and 8.88 A lever AB of negligible weight is...Ch. 8.3 - Prob. 8.89PCh. 8.3 - Prob. 8.90PCh. 8.3 - Prob. 8.91PCh. 8.3 - Prob. 8.92PCh. 8.3 - Prob. 8.93PCh. 8.3 - Prob. 8.94PCh. 8.3 - Prob. 8.95PCh. 8.3 - Prob. 8.96PCh. 8.3 - Solve Prob. 8.93 assuming that the normal force...Ch. 8.3 - Prob. 8.98PCh. 8.3 - Prob. 8.99PCh. 8.3 - A 900-kg machine base is rolled along a concrete...Ch. 8.3 - Prob. 8.101PCh. 8.3 - Prob. 8.102PCh. 8.4 - A rope having a weight per unit length of 0.4...Ch. 8.4 - A hawser is wrapped two full turns around a...Ch. 8.4 - Two cylinders are connected by a rope that passes...Ch. 8.4 - Prob. 8.106PCh. 8.4 - The coefficient of static friction between block B...Ch. 8.4 - Prob. 8.108PCh. 8.4 - A band belt is used to control the speed of a...Ch. 8.4 - Prob. 8.110PCh. 8.4 - The setup shown is used to measure the output of a...Ch. 8.4 - A flat belt is used to transmit a couple from drum...Ch. 8.4 - Prob. 8.113PCh. 8.4 - Prob. 8.114PCh. 8.4 - The speed of the brake drum shown is controlled by...Ch. 8.4 - The speed of the brake drum shown is controlled by...Ch. 8.4 - Prob. 8.117PCh. 8.4 - Bucket A and block C are connected by a cable that...Ch. 8.4 - Prob. 8.119PCh. 8.4 - Prob. 8.120PCh. 8.4 - 8.121 and 8.123 A cable is placed around three...Ch. 8.4 - Prob. 8.122PCh. 8.4 - Prob. 8.123PCh. 8.4 - Prob. 8.124PCh. 8.4 - Prob. 8.125PCh. 8.4 - Prob. 8.126PCh. 8.4 - The axle of the pulley is frozen and cannot rotate...Ch. 8.4 - The 10-lb bar AE is suspended by a cable that...Ch. 8.4 - Prob. 8.129PCh. 8.4 - Prove that Eqs. (8.13) and (8.14) are valid for...Ch. 8.4 - Complete the derivation of Eq. (8.15), which...Ch. 8.4 - Prob. 8.132PCh. 8.4 - Solve Prob. 8.113 assuming that the flat belt and...Ch. 8 - 8.134 and 8.135 The coefficients of friction are S...Ch. 8 - Prob. 8.135RPCh. 8 - Prob. 8.136RPCh. 8 - A slender rod with a length of L is lodged between...Ch. 8 - The hydraulic cylinder shown exerts a force of 3...Ch. 8 - Prob. 8.139RPCh. 8 - Bar AB is attached to collars that can slide on...Ch. 8 - Two 10 wedges of negligible weight are used to...Ch. 8 - A 10 wedge is used to split a section of a log....Ch. 8 - Prob. 8.143RPCh. 8 - A lever of negligible weight is loosely fitted...Ch. 8 - In the pivoted motor mount shown, the weight W of...
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- W = 10 N B W=10 N PROBLEM 8.36 Two 10-N blocks A and B are connected by a slender rod of negligible weight. The coefficient of static friction is 0.30 between all surfaces of contact, and the rod forms an angle = 30°. with the vertical. (a) Show that the system is in equilibrium when P=0. (b) Determine the largest value of P for which equilibrium is maintained.arrow_forwardA lever AB of negligible weight is loosely fitted onto a 2.5-in.-diameter fixed shaft. Knowing that the coefficient of static friction between the fixed shaft and the lever is 0.15, determine the force P required to start the lever rotating counterclockwise.arrow_forwardA lever AB of negligible weight is loosely fitted onto a 2.5-in.-diameter fixed shaft. Knowing that the coefficient of static friction between the fixed shaft and the lever is 0.15, determine the force P required to start the lever rotating counterclockwise.arrow_forward
- The cylinder shown is of weight W and radius r . Express in terms XV and r the magnitude of the largest couple M that can be applied to the cylinder if it is not to rotate, assuming the coefficient of static friction to be (a) zero at A and 0.30 at B, (b) 0.25 at A and 0.30 at B.Fig. P8.18arrow_forwardThis is specifically a Statics problem. A 75-kg cabinet is mounted on casters which can be locked to prevent their rotation. The coefficient of static friction between each caster and the floor is 0.32. Assuming that the casters at both A and B are locked, determine a) the force P required to move the cabinet to the right, and b) the largest allowable value of h if the cabinet is not to tip over.arrow_forwardb.7arrow_forward
- Solve Prob. 8.62 assuming that the wedge is to be forced under the machine base at B instead of A.(Reference to Problem 8.62):A 5° wedge is to be forced under a 1400-lb machine base at A . Knowing that the coefficient of static friction at all surfaces is 0.20, (a) determine the force P required to move the wedge, (b) indicate whether the machine base will move.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_forwardThe foot of a uniform ladder, of length 2a and weight W, rests on rough horizontal ground and the top of the ladder rests against a smooth vertical wall, The ladder makes an angle of 60° with the horizontal. A man of weight 4W climbs up the ladder. Given that the ladder begins to slip when the man has climbed two-thirds of the way up the ladder, find (a) the coefficient of friction between the ladder and the ground, (b) how far a boy of weight 2W can climb up the ladder before it slips.arrow_forward
- PROBLEM 8.23 The 10-lb uniform rod AB is held in the position shown by the force P. Knowing that the coefficient of static friction is 0.20 at A and B, determine the smallest value of P for which equilibrium is maintained. 15 i G 7.5 in. A -8 in. Fig. P8.23arrow_forward8.50 and 8.51 Two 6° wedges of negligible weight are used to move and position the 900-kg block. Knowing that the coefficient of static friction is 0.30 at all surfaces of contact, determine the smallest force P that should be applied as shown to one of the wedges. Fig. P8.50 900 kgarrow_forwardWhat weight W must be suspended through the fixed pulley shown to start motion to the left of the 1000-N wedge under the 2,500-N block? The angle of friction of all contact surfaces is 10⁰.arrow_forward
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