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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Chapter 8.3, Problem 8.83P
To determine
Find the tension in each portion of the rope when the load is slowly raised.
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Knowing that the coefficient of static friction is 0.30 between the rope and the horizontal pipe and that the smallest value of P for which equilibrium is maintained is 80 N, determine (a) the largest value of P for which equilibrium is maintained, (b) the coefficient of static friction between the rope and the vertical pipe.
Two slender rods of negligible weight are pin-connected at C and attached to blocks A and B , each with a weight W . Knowing that P = 1.260 W and that the coefficient of static friction between the blocks and the horizontal surface is 0.30, determine the range of values of 0 between 0 and 180° for which equilibrium is maintained.
A cable is placed around three parallel pipes. Two of the pipes are fixed and do not rotate; the third pipe is slowly rotated. Knowing that the coefficients of friction are μs= 0.25 and μk= 0.20, determine the largest weight W that can be raised (a) if only pipe A is rotated counterclockwise, (b) if only pipe C is rotated clockwise.
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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- A 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_forwardTwo slender rods of negligible weight are pin-connected at C and attached to blocks A and B, each of weight W. Knowing that P =1.260W and that the coefficient of static friction between the blocks and the horizontal surface is 0.30, determine the range of values of θ,between 0 and 180°, for which equilibrium is maintained.arrow_forwardKnowing that the coefficient of static friction is 0.25 between the rope and the horizontal pipe and 0.20 between the rope and the vertical pipe, determine the range of values of P for which equilibrium is maintained.arrow_forward
- A 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 clockwise.arrow_forwardSolve Prob. 8.124 assuming that the idler drum C is frozen and cannot rotate.(Reference to Problem 8.124):A recording tape passes over the 20-mm-radius drive drum B and under the idler drum C . Knowing that the coefficients of friction between the tape and the drums are μs= 0.40 and μk= 0.30 and that drum C is free to rotate, determine the smallest allowable value of P if slipping of the tape on drum B is not to occur.arrow_forwardA window sash weighing 10 lb is normally supported by two 5-lb sash weights. Knowing that the window remains open after one sash cord has broken, determine the smallest possible value of the coefficient of static friction. (Assume that the sash is slightly smaller than the frame and will bind only at points A and D.)arrow_forward
- The double pulley shown is attached to a 10-mm-radius shaft that fits loosely in a fixed bearing. Knowing that the coefficient of static friction between the shaft and the poorly lubricated bearing is 0.40, determine the magnitude of the force P required to maintain equilibrium.arrow_forwardThe double pulley shown is attached to a 10-mm-radius shaft that fits loosely in a fixed bearing. Knowing that the coefficient of static friction between the shaft and the poorly lubricated bearing is 0.40, determine the magnitude of the force P required to start raising the load.arrow_forwardSolve Prob. 8.126 assuming that 0= 75°.(Reference to Problem 8.126):The strap wrench shown is used to grip the pipe firmly without marring the external surface of the pipe. Knowing that the coefficient of static friction is the same for all surfaces of contact, determine the smallest value of μs for which the wrench will be self-locking when a = 200 mm, r=30 mm, and 0= 65°.arrow_forward
- A slender steel rod with a length of 225 mm is placed inside a pipe as shown. Knowing that the coefficient of static friction between the rod and the pipe is 0.20, determine the largest value of 0 for which the rod will not fall into the pipe.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 0 = 45°, determine the smallest force P required to raise block A.arrow_forwardA 120kg block is supported by a rope which is wrapped 1 1/2 times around a horizontal rod. knowing that the coefficient of static friction between the rope and the rod is 0.15, determine the range of values of P for equilibrium is maintained.arrow_forward
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