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 8.2, Problem 8.51P
To determine
Find the minimum value of P must be applied to the wedge to move the block.
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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.
b.7
Two 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.
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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- PROBLEM 8.29 5 ft 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 А 0.40 between both collars and the rod, determine whether the plate is 2 ft in equilibrium in the position shown when the magnitude of the B vertical force applied at E is (a) P=0, (b) P=20 lb. E • G 50 lb 3 ftarrow_forwardW = 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_forwardPlease solve the question in handwriting step by step.arrow_forward
- A wedge A of negligible weight is to be driven between two 100-lb blocks B and C resting on a horizontal surface. Knowing that the coefficient of static friction between all surfaces of contact is 0.35, determine the smallest force P required to start moving the wedge (a) if the blocks are equally free to move, (b) if block C is securely bolted to the horizontal surface.arrow_forward8.59 A 6° steel wedge is driven into the end of an ax handle to lock the handle to the ax head. The coefficient of static friction between the wedge and the handle is 0.35. Knowing that a force P of magnitude 60 lb was re- quired to insert the wedge to the equilibrium position shown, determine the magnitude of the forces exerted on the handle by the wedge after force P is removed. Fig. P8.59arrow_forwardTwo 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.arrow_forward
- 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.arrow_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_forwardTwo 10° wedges of negligible weight are used to move and position the 400-lb block. Knowing that the coefficient of static friction is 0.25 at all surfaces of contact, determine the smallest force P that should be applied as shown to one of the wedges.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 counterclockwise.arrow_forwardThe block and tackle shown are used to raise a 150-lb load. Each of the 3-in.-diameter pulleys rotates on a 0.5-in.-diameter axle. Knowing that the coefficient of static friction is 0.20, determine the tension in each portion of the rope as the load is slowly raised.arrow_forwardIn the pivoted motor mount shown, the weight W of the 175-lb motor is used to maintain tension in the drive belt. Knowing that the coefficient of static friction between the flat belt and drums A and B is 0.40 and neglecting the weight of platform CD , determine the largest couple that can be transmitted to drum B when the drive drum A is rotating clockwise.arrow_forward
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