VECTOR MECH. FOR EGR: STATS & DYNAM (LL
12th Edition
ISBN: 9781260663778
Author: BEER
Publisher: MCG
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Chapter 6.3, Problem 6.90P
(a) Show that, when a frame supports a pulley at A, an equivalent loading of the frame and of each of its component parts can be obtained by removing the pulley and applying at A two forces equal and parallel to the forces that the cable exerted on the pulley. (b) Show that, if one end of the cable is attached to the frame at a point B, a force of magnitude equal to the tension in the cable should also be applied at B.
Fig. P6.90
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page 345
6.90 (a) Show that, when a frame supports a pulley at A, an equivalent loading of the frame and of each of its component parts can be obtained by removing the pulley and applying at A two forces equal
and parallel to the forces that the cable exerted on the pulley. (b) Show that, if one end of the cable is attached to the frame at a point B, a force of magnitude equal to the tension in the cable should
also be applied at B.
Fig. P6.90
B
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(a)
A
BT
(b)
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A mechanic uses a crowfoot wrench to loosen a bolt at C . The mechanic holds the socket wrench handle at points A and B and applies forces at these points. Knowing that these forces are equivalent to a force-couple system at C consisting of the force C = -(8 lb)i + (4 lb) k and the couple MC= (360 lb·in.)i, determine the forces applied at A and at B when Az = 2 ib.
Chapter 6 Solutions
VECTOR MECH. FOR EGR: STATS & DYNAM (LL
Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Determine the force in each member of the truss...
Ch. 6.1 - Determine the force in each member of the Gambrel...Ch. 6.1 - Determine the force in each member of the Howe...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Determine the force in each member of the Warren...Ch. 6.1 - Solve Problem 6.15 assuming that the load applied...Ch. 6.1 - Determine the force in each member of the Pratt...Ch. 6.1 - The truss shown is one of several supporting an...Ch. 6.1 - Determine the force in each member of the Pratt...Ch. 6.1 - Prob. 6.20PCh. 6.1 - Determine the force in each of the members located...Ch. 6.1 - Determine the force in member DE and in each of...Ch. 6.1 - Determine the force in each of the members located...Ch. 6.1 - The portion of truss shown represents the upper...Ch. 6.1 - For the tower and loading of Prob. 6.24 and...Ch. 6.1 - Solve Problem 6.24 assuming that the cables...Ch. 6.1 - Determine the force in each member of the truss...Ch. 6.1 - Determine the force in each member of the truss...Ch. 6.1 - Determine whether the trusses of Problems 6.31a,...Ch. 6.1 - Determine whether the trusses of Problems 6.31b,...Ch. 6.1 - For the given loading, determine the zero-force...Ch. 6.1 - Prob. 6.32PCh. 6.1 - For the given loading, determine the zero-force...Ch. 6.1 - Prob. 6.34PCh. 6.1 - Prob. 6.35PCh. 6.1 - Prob. 6.36PCh. 6.1 - The truss shown consists of six members and is...Ch. 6.1 - The truss shown consists of nine members and is...Ch. 6.1 - The truss shown consists of nine members and is...Ch. 6.1 - Solve Prob. 6.39 for P = 0 and Q = (900 N)k. 6.39...Ch. 6.1 - The truss shown consists of 18 members and is...Ch. 6.1 - The truss shown consists of 18 members and is...Ch. 6.2 - Determine the force in members BD and DE of the...Ch. 6.2 - Determine the force in members DG and EG of the...Ch. 6.2 - Determine the force in members BD and CD of the...Ch. 6.2 - Determine the force in members DF and DG of the...Ch. 6.2 - A floor truss is loaded as shown. Determine the...Ch. 6.2 - A floor truss is loaded as shown. Determine the...Ch. 6.2 - Determine the force in members CD and DF of the...Ch. 6.2 - Determine the force in members CE and EF of the...Ch. 6.2 - Determine the force in members DE and DF of the...Ch. 6.2 - Prob. 6.52PCh. 6.2 - Determine the force in members DF and DE of the...Ch. 6.2 - Prob. 6.54PCh. 6.2 - A Pratt roof truss is loaded as shown. Determine...Ch. 6.2 - A Pratt roof truss is loaded as shown. Determine...Ch. 6.2 - A Howe scissors roof truss is loaded as shown....Ch. 6.2 - A Howe scissors roof truss is loaded as shown....Ch. 6.2 - Determine the force in members AD, CD, and CE of...Ch. 6.2 - Determine the force in members DG, FG, and FH of...Ch. 6.2 - Determine the force in member GJ of the truss...Ch. 6.2 - Determine the force in members DG and FH of the...Ch. 6.2 - Determine the force in members CD and JK of the...Ch. 6.2 - Determine the force in members DE and KL of the...Ch. 6.2 - The diagonal members in the center panels of the...Ch. 6.2 - The diagonal members in the center panels of the...Ch. 6.2 - Prob. 6.67PCh. 6.2 - Prob. 6.68PCh. 6.2 - Classify each of the structures shown as...Ch. 6.2 - Classify each of the structures shown as...Ch. 6.2 - Prob. 6.71PCh. 6.2 - 6.70 through 6.74 classify as determinate or...Ch. 6.2 - 6.70 through 6.74 classify as determinate or...Ch. 6.2 - 6.70 through 6.74 classify as determinate or...Ch. 6.3 - For the frame and loading shown, draw the...Ch. 6.3 - For the frame and loading shown, draw the...Ch. 6.3 - Draw the free-body diagram(s) needed to determine...Ch. 6.3 - Knowing that the pulley has a radius of 0.5 m,...Ch. 6.3 - and 6.76 Determine the force in member BD and the...Ch. 6.3 - and 6.76 Determine the force in member BD and the...Ch. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - Determine the components of all forces acting on...Ch. 6.3 - The hydraulic cylinder CF, which partially...Ch. 6.3 - The hydraulic cylinder CF, which partially...Ch. 6.3 - Determine the components of all forces acting on...Ch. 6.3 - Determine the components of all forces acting on...Ch. 6.3 - Determine the components of the reactions at A and...Ch. 6.3 - Determine the components of the reactions at D and...Ch. 6.3 - Determine the components of the reactions at A and...Ch. 6.3 - Determine the components of the reactions at A and...Ch. 6.3 - Prob. 6.87PCh. 6.3 - The 48-lb load can be moved along the line of...Ch. 6.3 - The 48-lb load is removed and a 288-lb in....Ch. 6.3 - (a) Show that, when a frame supports a pulley at...Ch. 6.3 - Knowing that each pulley has a radius of 250 mm,...Ch. 6.3 - Knowing that the pulley has a radius of 75 mm,...Ch. 6.3 - Two 9-in.-diameter pipes (pipe 1 and pipe 2) are...Ch. 6.3 - Prob. 6.94PCh. 6.3 - Prob. 6.95PCh. 6.3 - Prob. 6.96PCh. 6.3 - Prob. 6.97PCh. 6.3 - Prob. 6.98PCh. 6.3 - Knowing that P = 90 lb and Q = 60 lb, determine...Ch. 6.3 - Knowing that P = 90 lb and Q = 60 lb, determine...Ch. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - Knowing that P = 15 lb and Q = 65 lb, determine...Ch. 6.3 - Knowing that P = 25 lb and Q = 55 lb, determine...Ch. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - Prob. 6.106PCh. 6.3 - The axis of the three-hinge arch ABC is a parabola...Ch. 6.3 - The axis of the three-hinge arch ABC is a parabola...Ch. 6.3 - Prob. 6.109PCh. 6.3 - Prob. 6.110PCh. 6.3 - 6.111, 6.112, and 6.113 Members ABC and CDE are...Ch. 6.3 - Prob. 6.112PCh. 6.3 - 6.111, 6.112, and 6.113 Members ABC and CDE are...Ch. 6.3 - Members ABC and CDE are pin-connected at C and...Ch. 6.3 - Solve Prob. 6.112 assuming that the force P is...Ch. 6.3 - Solve Prob. 6.114 assuming that the force P is...Ch. 6.3 - Prob. 6.117PCh. 6.3 - Prob. 6.118PCh. 6.3 - 6.119 through 6.121 Each of the frames shown...Ch. 6.3 - 6.119 through 6.121 Each of the frames shown...Ch. 6.3 - 6.119 through 6.121 Each of the frames shown...Ch. 6.4 - An 84-lb force is applied to the toggle vise at C....Ch. 6.4 - For the system and loading shown, draw the...Ch. 6.4 - Prob. 6.7FBPCh. 6.4 - The position of member ABC is controlled by the...Ch. 6.4 - The shear shown is used to cut and trim...Ch. 6.4 - A 100-lb force directed vertically downward is...Ch. 6.4 - Prob. 6.124PCh. 6.4 - The control rod CE passes through a horizontal...Ch. 6.4 - Solve Prob. 6.125 when (a) = 0, (b) = 6. Fig....Ch. 6.4 - The press shown is used to emboss a small seal at...Ch. 6.4 - The press shown is used to emboss a small seal at...Ch. 6.4 - Prob. 6.129PCh. 6.4 - The pin at B is attached to member ABC and can...Ch. 6.4 - Arm ABC is connected by pins to a collar at B and...Ch. 6.4 - Arm ABC is connected by pins to a collar at B and...Ch. 6.4 - The Whitworth mechanism shown is used to produce a...Ch. 6.4 - Prob. 6.134PCh. 6.4 - and 6.136 Two rods are connected by a slider block...Ch. 6.4 - and 6.136 Two rods are connected by a slider block...Ch. 6.4 - 6.137 and 6.138 Rod CD is attached to the collar D...Ch. 6.4 - 6.137 and 6.138 Rod CD is attached to the collar D...Ch. 6.4 - Two hydraulic cylinders control the position of...Ch. 6.4 - Prob. 6.140PCh. 6.4 - A steel ingot weighing 8000 lb is lifted by a pair...Ch. 6.4 - If the toggle shown is added to the tongs of Prob....Ch. 6.4 - A 9-m length of railroad rail of mass 40 kg/m is...Ch. 6.4 - Prob. 6.144PCh. 6.4 - The pliers shown are used to grip a...Ch. 6.4 - Prob. 6.146PCh. 6.4 - In using the bolt cutter shown, a worker applies...Ch. 6.4 - The upper blade and lower handle of the...Ch. 6.4 - Prob. 6.149PCh. 6.4 - and 6.150 Determine the force P that must be...Ch. 6.4 - Prob. 6.151PCh. 6.4 - Prob. 6.152PCh. 6.4 - The elevation of the platform is controlled by two...Ch. 6.4 - For the frame and loading shown, determine the...Ch. 6.4 - The telescoping arm ABC is used to provide an...Ch. 6.4 - The telescoping arm ABC of Prob. 6.155 can be...Ch. 6.4 - The motion of the backhoe bucket shown is...Ch. 6.4 - Prob. 6.158PCh. 6.4 - The gears A and D are rigidly attached to...Ch. 6.4 - In the planetary gear system shown, the radius of...Ch. 6.4 - Two shafts AC and CF, which lie in the vertical xy...Ch. 6.4 - Two shafts AC and CF, which lie in the vertical xy...Ch. 6.4 - The large mechanical tongs shown are used to grab...Ch. 6 - Using the method of joints, determine the force in...Ch. 6 - Using the method of joints, determine the force in...Ch. 6 - A stadium roof truss is loaded as shown. Determine...Ch. 6 - A stadium roof truss is loaded as shown. Determine...Ch. 6 - Determine the components of all forces acting on...Ch. 6 - Prob. 6.169RPCh. 6 - Knowing that the pulley has a radius of 50 mm,...Ch. 6 - For the frame and loading shown, determine the...Ch. 6 - For the frame and loading shown, determine the...Ch. 6 - Water pressure in the supply system exerts a...Ch. 6 - A couple M with a magnitude of 1.5 kNm is applied...Ch. 6 - Prob. 6.175RP
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