International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Chapter 4, Problem 4.11P
The figure is a model for member CDE of the frame described in Prob. 4.10. Draw the FBD of the member, neglecting its weight. Count the unknowns.
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Problem4.
The thin uniform disk of mass m = 1-kg and radius R = 0.1m spins about the bent shaft OG with
the angular speed w2 = 20 rad/s. At the same time, the shaft rotates about the z-axis with the angular
speed 001 = 10 rad/s. The angle between the bent portion of the shaft and the z-axis is ẞ = 35°. The
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c. Find the kinetic energy of the assembly.
z
R
R
002
2R
x
Answer: H = -0.046ĵ-0.040 kg-m²/sec
Ho=-0.146-0.015 kg-m²/sec
T 0.518 N-m
=
Problem 3.
The assembly shown consists of a solid sphere of mass m and the uniform slender rod of the same
mass, both of which are welded to the shaft. The assembly is rotating with angular velocity w at a
particular moment. Find the angular momentum with respect to point O, in terms of the axes
shown.
Answer: Ñ。 = ½mc²wcosßsinßĵ + (}{mr²w + 2mb²w + ½ mc²wcos²ß) k
3
m
r
b
2
C
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m
Chapter 4 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 4 - Each of the bodies shown is homogeneous and has a...Ch. 4 - Each of the bodies shown is homogeneous and has a...Ch. 4 - Each of the bodies shown is homogeneous and has a...Ch. 4 - The homogeneous bar weighs 12 lb. It is resting on...Ch. 4 - The homogeneous beam AB weighs 400 lb. For each...Ch. 4 - The homogeneous triangular plate has a mass of 12...Ch. 4 - The bracket of negligible weight is supported by a...Ch. 4 - The figure models the handle of the water cock...Ch. 4 - The high-pressure water cock is rigidly attached...Ch. 4 - Draw the FBD of the entire frame, assuming that...
Ch. 4 - The figure is a model for member CDE of the frame...Ch. 4 - The homogeneous cylinder of weight Wrests in a...Ch. 4 - Calculate the force P that is required to hold the...Ch. 4 - The 60-lb homogeneous disk is suspended from a...Ch. 4 - The 180-kg uniform boom ABC, supported by a...Ch. 4 - The table lamp consists of two uniform arms, each...Ch. 4 - At what angle will the lamp in Prob. 4.16 be in...Ch. 4 - The bent beam ABC is supported by a pin at B and a...Ch. 4 - Compute all reactions at the base A of the traffic...Ch. 4 - The man is holding up the 35-kg ladder ABC by...Ch. 4 - The 1200-lb homogeneous block is placed on rollers...Ch. 4 - The uniform plank ABC weighs 400 N. It is...Ch. 4 - The center of gravity of the 850-N man is at G. If...Ch. 4 - The homogeneous 340-lb sign is suspended from...Ch. 4 - When the truck is empty, it weighs 6000 lb and its...Ch. 4 - The homogeneous bar AB weighs 25 lb. Determine the...Ch. 4 - Determine the smallest horizontal force P that...Ch. 4 - The homogeneous beam AB weighing 800 lb carries...Ch. 4 - The homogeneous 40-kg bar ABC is held in position...Ch. 4 - The horizontal force P is applied to the handle of...Ch. 4 - The homogeneous plate of weight W is suspended...Ch. 4 - Neglecting the mass of the beam, compute the...Ch. 4 - The 1200-kg car is being lowered slowly onto the...Ch. 4 - The crate weighing 400 lb is supported by three...Ch. 4 - Find the smallest value of P for which the crate...Ch. 4 - Determine the rope tension T for which the pulley...Ch. 4 - The 40-kg homogeneous disk is resting on an...Ch. 4 - The 40-kghomogeneous disk is placed on a...Ch. 4 - The mass of the uniform bar AB is 80 kg. Calculate...Ch. 4 - The mechanism shown is a modified Geneva drive-a...Ch. 4 - The center of gravity of the 3000-lb car is at G....Ch. 4 - The 30-lb block is held in place on the smooth...Ch. 4 - The vertical post is supported by two cables (the...Ch. 4 - The uniform ladder of weight W is raised slowly by...Ch. 4 - The uniform, 30-lb ladder is raised slowly by...Ch. 4 - The 90-kg man, whose center of gravity is at G, is...Ch. 4 - The bar ABC is constrained by the pin support A...Ch. 4 - The tensioning mechanism of a magnetic tape drive...Ch. 4 - The homogeneous 300-kg cylinder is pulled over the...Ch. 4 - Compute the magnitudes of the reactions at pin A...Ch. 4 - Each of the sandbags piled on the 380-lb uniform...Ch. 4 - The 18-ft pole is supported by a pin at A and a...Ch. 4 - The supporting structure of the billboard is...Ch. 4 - The self-regulating floodgate ABC, pinned at B, is...Ch. 4 - The cantilever beam is built into a wall at O....Ch. 4 - Determine the force F required to keep the 200-kg...Ch. 4 - The uniform rod AB of weight W is supported by the...Ch. 4 - A machine operator produces the tension Tin the...Ch. 4 - The dump truck consists of a chassis and a tray,...Ch. 4 - The centers of gravity of the 50-kg lift truck and...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - For Probs. 4.61–4.68, (a) draw the free-body...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - (a) draw the free-body diagrams for the entire...Ch. 4 - The two uniform cylinders, each of weight W, are...Ch. 4 - Draw the FBDs for the following: (a) bar ABC with...Ch. 4 - Draw the FBDs for the beam ABC and the segments AB...Ch. 4 - Draw the FBDs for the entire structure and the...Ch. 4 - The beam consists of the bars AB and BC connected...Ch. 4 - For the frame shown, determine the magnitude of...Ch. 4 - Determine the magnitudes of the pin reactions at A...Ch. 4 - The bars AB and AC are joined by a pin at A and a...Ch. 4 - Neglecting the weights of the members, determine...Ch. 4 - Calculate the magnitudes of the pin reactions at A...Ch. 4 - Determine the magnitude of the pin reaction at A...Ch. 4 - Neglecting friction and the weights of the...Ch. 4 - When activated by the force P, the gripper on a...Ch. 4 - Determine the axle loads (normal forces at A, B,...Ch. 4 - Determine the force P that would produce a tensile...Ch. 4 - The pulley-cable system supports the 150-lb...Ch. 4 - Determine the contact force between the smooth...Ch. 4 - Compute the tension in the cable and the contact...Ch. 4 - Determine the magnitude of the pin reaction at B....Ch. 4 - Determine the tension in the cable at B, given...Ch. 4 - Compute the magnitude of the pin reaction at B....Ch. 4 - Neglecting the weight of the frame, find the...Ch. 4 - Determine the clamping force at A due to the 15-lb...Ch. 4 - Compute the tension in the cable BD when the...Ch. 4 - Calculate the reactions at the built-in support at...Ch. 4 - Determine the magnitudes of the roller reactions...Ch. 4 - The linkage of the braking system consists of the...Ch. 4 - The window washers A and B support themselves and...Ch. 4 - The figure shows a wire cutter. Determine the...Ch. 4 - Find the tension T in the cable when the 180-N...Ch. 4 - The 400-kg drum is held by tongs of negligible...Ch. 4 - Compute the magnitudes of all forces acting on...Ch. 4 - Calculate all forces acting on member CDB.Ch. 4 - The automatic drilling robot must sustain a thrust...Ch. 4 - Determine the clamping (vertical) force applied by...Ch. 4 - Determine the axial force in member BC of the...Ch. 4 - Neglecting friction, determine the relationship...Ch. 4 - Find the magnitudes of the pin reactions at A and...Ch. 4 - The load in the bucket of a skid steer loader is...Ch. 4 - Determine the magnitude of the roller reaction at...Ch. 4 - The tool shown is used to crimp terminals onto...Ch. 4 - The 12-lb force is applied to the handle of the...Ch. 4 - The blade of the bulldozer is rigidly attached to...Ch. 4 - Find the magnitudes of the pin reactions at A, C,...Ch. 4 - The pins at the end of the retaining-ring spreader...Ch. 4 - Determine the magnitudes of the support reactions...Ch. 4 - Find the magnitude of the pin reaction at C....Ch. 4 - For the pliers shown, determine the relationship...Ch. 4 - The device shown is an overload prevention...Ch. 4 - The figure is a schematic of a wire cutter....Ch. 4 - The hinge shown is the type used on the doors of...Ch. 4 - Determine the force in the hydraulic cylinder EF...Ch. 4 - Determine the horizontal force P that would keep...Ch. 4 - Determine the magnitudes of the forces acting on...Ch. 4 - Determine the angle at which the bar AB is in...Ch. 4 - The automobile, with center of gravity at G, is...Ch. 4 - The figure shows a three-pin arch. Determine the...Ch. 4 - The center of gravity of the nonhomogeneous bar AB...Ch. 4 - When suspended from two cables, the rocket assumes...Ch. 4 - The pump oiler is operated by pressing on the...Ch. 4 - The uniform 240-lb bar AB is held in the position...Ch. 4 - Find the force P required to (a) push; and (b)...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Using the method of joints, calculate the force in...Ch. 4 - Identify all the zero-force members in the four...Ch. 4 - The walkway ABC of the footbridge is stiffened by...Ch. 4 - Find the force in member EF.Ch. 4 - Determine the forces in members AE, BE, and ED.Ch. 4 - Determine the reaction at E and the force in each...Ch. 4 - Determine the force in member AD of the truss.Ch. 4 - Determine the force in member BE of the truss.Ch. 4 - Show that all diagonal members of the truss carry...Ch. 4 - Determine the forces in members FG and AB in terms...Ch. 4 - Determine the forces in members BC, BG, and FG.Ch. 4 - Determine the forces in members EF, BF, and BC.Ch. 4 - Compute the forces in members EF, NE and NO.Ch. 4 - Repeat Prob. 4.152 assuming that the 400-kN force...Ch. 4 - Determine the forces in members BG, CI, and CD.Ch. 4 - Assuming that P=48000lb and that it may be applied...Ch. 4 - Calculate the forces in members BC, CF, and FG.Ch. 4 - Find the forces in members CD, DH, and HI.Ch. 4 - Determine the forces in members CD and DF.Ch. 4 - Compute the forces in members CD and JK, given...Ch. 4 - If PCD=6000lb and PGD=1000lb (both compression),...Ch. 4 - Determine the forces in members EF, BF, and BC.Ch. 4 - Determine the forces in members AC, AD, and DE.Ch. 4 - Determine the forces in members GI, PH, and GH....Ch. 4 - Determine the forces in members CD, IJ, and NJ of...Ch. 4 - Calculate the forces in members AB and DE.Ch. 4 - (a) Find the forces in members CE, CF, and DF. (b)...Ch. 4 - Determine the forces in members BC and BE and the...Ch. 4 - A couple acting on the winch at G slowly raises...Ch. 4 - The uniform, 20-kg bar is placed between two...Ch. 4 - The 320-lb homogeneous spool is placed on the...Ch. 4 - Determine the magnitude of the pin reaction at A,...Ch. 4 - Determine the couple C that will hold the bar AB...Ch. 4 - The 800-lb force is applied to the pin at E....Ch. 4 - The weight W=6kN hangs from the cable which passes...Ch. 4 - The 2000-lb and 6000-lb forces are applied to the...Ch. 4 - The two couples act at the midpoints of bars AB...Ch. 4 - Determine the forces in members AC and AD of the...Ch. 4 - Determine the angle for which the uniform bar of...Ch. 4 - Determine the magnitude of the force exerted by...Ch. 4 - Calculate the forces in members (a) DE; (b) BE;...Ch. 4 - Determine the ratio P/Q for which the parallel...Ch. 4 - The 30-lb block C rests on the uniform 14-lb bar...Ch. 4 - The 30-lb homogeneous bar AB supports the 60-lb...Ch. 4 - Determine the forces in members (a) EF; and (b)...Ch. 4 - Find the magnitude of the pin reaction at B caused...Ch. 4 - The breaking strength of the cable FG that...Ch. 4 - Determine the forces in members GH, BH, and BC of...Ch. 4 - The 80-N force is applied to the handle of the...Ch. 4 - The tongs shown are designed for lifting blocks of...
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