VECTOR MECH...,STAT.+DYN.(LL)-W/ACCESS
12th Edition
ISBN: 9781260265453
Author: BEER
Publisher: MCG
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Textbook Question
Chapter 6.1, Problem 6.3P
Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.
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Problem 6 (Optional, extra 6 points)
150 mm
150 mm
120 mm
80 mm
60 mm
PROBLEM 18.103
A 2.5 kg homogeneous disk of radius 80 mm rotates with an
angular velocity ₁ with respect to arm ABC, which is welded
to a shaft DCE rotating as shown at the constant rate
w212 rad/s. Friction in the bearing at A causes ₁ to
decrease at the rate of 15 rad/s². Determine the dynamic
reactions at D and E at a time when ₁ has decreased to
50 rad/s.
Answer:
5=-22.01 +26.8} N
E=-21.2-5.20Ĵ N
Problem 1.
Two uniform rods AB and CE, each of weight 3 lb and length 2 ft, are welded to each other at their
midpoints. Knowing that this assembly has an angular velocity of constant magnitude c = 12 rad/s,
determine:
(1). the magnitude and direction of the angular momentum HD of the assembly about D.
(2). the dynamic reactions (ignore mg) at the bearings at A and B.
9 in.
3 in.
03
9 in.
3 in.
Answers: HD = 0.162 i +0.184 j slug-ft²/s
HG = 2.21 k
Ay =-1.1 lb; Az = 0; By = 1.1 lb; B₂ = 0.
Problem 5 (Optional, extra 6 points)
A 6-lb homogeneous disk of radius 3 in. spins as shown at the constant rate w₁ = 60 rad/s. The disk
is supported by the fork-ended rod AB, which is welded to the vertical shaft CBD. The system is
at rest when a couple Mo= (0.25ft-lb)j is applied to the shaft for 2 s and then removed. Determine
the dynamic reactions at C and D before and after the couple has been removed at 2 s.
4 in.
C
B
Mo
5 in
4 in.
Note: 2 rotating around CD induced by Mo is NOT
constant before Mo is removed.
and ₂ (two
unknowns) are related by the equation: ₂ =0+ w₂t
3 in.
Partial Answer (after Mo has been removed):
C-7.81+7.43k lb
D -7.81 7.43 lb
Chapter 6 Solutions
VECTOR MECH...,STAT.+DYN.(LL)-W/ACCESS
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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