Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9780073398242
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Chapter 8.1, Problem 8.33P
To determine
Find the minimum coefficient of friction at A and C.
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A pipe of diameter 60 mm is gripped by the stillson wrench shown. Portions AB and DE of the wrench are rigidly attached to each other, and portion CF is connected by a pin at D. If the wrench is to grip the pipe and be self-locking, determine the required coefficients of friction at A and c.
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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 - Prob. 8.1PCh. 8.1 - Prob. 8.2PCh. 8.1 - Prob. 8.3PCh. 8.1 - Prob. 8.4PCh. 8.1 - Prob. 8.5PCh. 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 - Prob. 8.18PCh. 8.1 - Prob. 8.19PCh. 8.1 - Prob. 8.20PCh. 8.1 - Prob. 8.21PCh. 8.1 - Prob. 8.22PCh. 8.1 - Prob. 8.23PCh. 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 - Prob. 8.34PCh. 8.1 - Prob. 8.35PCh. 8.1 - Prob. 8.36PCh. 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 - Prob. 8.39PCh. 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 - Prob. 8.57PCh. 8.2 - Prob. 8.58PCh. 8.2 - Prob. 8.59PCh. 8.2 - Prob. 8.60PCh. 8.2 - Prob. 8.61PCh. 8.2 - Prob. 8.62PCh. 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 - Prob. 8.75PCh. 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 - 8.92 Knowing that a couple of magnitude 30 N·m is...Ch. 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 - Prob. 8.104PCh. 8.4 - Two cylinders are connected by a rope that passes...Ch. 8.4 - Prob. 8.106PCh. 8.4 - Prob. 8.107PCh. 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 - 8.114 Solve Prob. 8.113 assuming that the belt is...Ch. 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 - Prob. 8.127PCh. 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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- The machine part ABC is supported by a frictionless hinge at B and a 10° wedge at . Knowing that the coefficient of static friction is 0.20 at both surfaces of the wedge, determine (a) the force P required to move the wedge to the left, (b) the components of the corresponding reaction at B.arrow_forward1arrow_forwardThe elevation of the end of the steel beam supported by a concrete floor is adjusted by means of the steel wedges E and F . The base plate CD has been welded to the lower flange of the beam, and the end reaction of the beam is known to be 100 kN. The coefficient of static friction is 0.30 between two steel surfaces and 0.60 between steel and concrete. If the horizontal motion of tin beam is prevented by the force Q . determine (a) the force P required to raise the beam, (b) the corresponding force Qarrow_forward
- What 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_forwardBlock A supports a pipe column and rests as shown on wedge B. Knowing that the coefficient of static friction at all faces of contact is 0.30 and that the angle theta is 45 deg., determine the smallest force P for which equilibrium is maintained. 3 kN B.arrow_forwardBar AB is attached to collars that can slide on the inclined rods shown. A force P is applied at point D located at a distance a from end A . Knowing that the coefficient of static friction μs between each collar and the rod upon which it slides is 0.30 and neglecting the weights of the bar and of the collars, determine the smallest value of the ratio L/a for which equilibrium is maintained.arrow_forward
- Problem 8.37 from Ferdinand Beerarrow_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_forwardThe cylinder shown is of weight W and radius r. Express in terms W 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.arrow_forward
- 8.59 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_forwardProblem 10.2: A thin bar of length I is attached to a collar at B and rests at C on a portion of the circular cylinder of radius r. Neglecting friction, determine the value of 0 that corresponds to the equilibrium position given that Q = 2P and r = 0.3, 1 = 200 mm,P = 40N C p. Barrow_forwardSolve the following problem (NOTE: Use any reasonable DATA not given in the problem.)arrow_forward
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