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Vector Mechanics For Engineers Statics 7th Edition R.C.Hibbeler - Solutions

Solve Problem 4.122 assuming that cable EF is replaced by a cable attached at points E and H. P4.122 The rectangular plate shown has a mass of 15 kg and is held in the position shown by hinges A and B and cable EF. Assuming that the hinge at B does not exert any axial thrust, determine(a) The
A small door weighing 16 lb is attached by hinges A and B to a wall and is held in the horizontal position shown by rope EFH. The rope passes around a small, frictionless pulley at F and is tied to a fixed cleat at H. Assuming that the hinge at A does not exert any axial thrust, determine(a) The
Solve Problem 4.124 assuming that the rope is attached to the door at I. P4.124 A small door weighing 16 lb is attached by hinges A and B to a wall and is held in the horizontal position shown by rope EFH. The rope passes around a small, frictionless pulley at F and is tied to a fixed cleat at H.
A 285-lb uniform rectangular plate is supported in the position shown by hinges A and B and by cable DCE, which passes over a frictionless hook at C. Assuming that the tension is the same in both parts of the cable, determine(a) The tension in the cable,(b) The reactions at A and B. Assume that the
Solve Problem 4.126 assuming that cable DCE is replaced by a cable attached to point E and hook C. P4.126 A 285-lb uniform rectangular plate is supported in the position shown by hinges A and B and by cable DCE, which passes over a frictionless hook at C. Assuming that the tension is the same in
The tensioning mechanism of a belt drive consists of frictionless pulley A, mounting plate B, and spring C. Attached below the mounting plate is slider block D which is free to move in the frictionless slot of bracket E. Knowing that the pulley and the belt lie in a horizontal plane, with portion F
The assembly shown is welded to collar A which fits on the vertical pin shown. The pin can exert couples about the x and z axes but does not prevent motion about or along the y axis. For the loading shown, determine the tension in each cable and the reaction at A.
The lever AB is welded to the bent rod BCD which is supported by bearing E and by cable DG. Assuming that the bearing can exert an axial thrust and couples about axes parallel to the x and z axes, determine(a) The tension in cable DG,(b) The reaction at E.
Solve Problem 4.124 assuming that the hinge at A is removed and that the hinge at B can exert couples about the y and z axes. P4.124 A small door weighing 16 lb is attached by hinges A and B to a wall and is held in the horizontal position shown by rope EFH. The rope passes around a small,
The frame shown is supported by three cables and a ball-and-socket joint at A. For P = 0, determine the tension in each cable and the reaction at A.
The frame shown is supported by three cables and a ball-and-socket joint at A. For P = 50 N, determine the tension in each cable and the reaction at A.
The rigid L-shaped member ABF is supported by a ball-and-socket joint at A and by three cables. For the loading shown, determine the tension in each cable and the reaction at A.
Solve Problem 4.134 assuming that the load at C has been removed. P4.134 The rigid L-shaped member ABF is supported by a ball-and socket joint at A and by three cables. For the loading shown, determine the tension in each cable and the reaction at A.
In order to clean the clogged drainpipe AE, a plumber has disconnected both ends of the pipe and inserted a power snake through the opening at A. The cutting head of the snake is connected by a heavy cable to an electric motor which rotates at a constant speed as the plumber forces the cable into
Solve Problem 4.136 assuming that the plumber exerts a force F= − (60 N)k and that the motor is turned off (M = 0). P4.136 In order to clean the clogged drainpipe AE, a plumber has disconnected both ends of the pipe and inserted a power snake through the opening at A. The cutting head of the
Three rods are welded together to form a “corner” which is supported by three eyebolts. Neglecting friction, determine the reactions at A, B, and C when P = 240 N, a = 120 mm, b = 80 mm, and c = 100 mm.
Solve Problem 4.138 assuming that the force P is removed and is replaced by a couple M = + (6 N ⋅ m)j acting at B. P4.138 Three rods are welded together to form a "corner" which is supported by three eyebolts. Neglecting friction, determine the reactions at A, B, and C when P = 240 N, a = 120 mm,
The uniform 10-lb rod AB is supported by a ball-and-socket joint at A and leans against both the rod CD and the vertical wall. Neglecting the effects of friction, determine(a) The force which rod CD exerts on AB,(b) The reactions at A and B.
A 21-in.-long uniform rod AB weighs 6.4 lb and is attached to a ball-and socket joint at A. The rod rests against an inclined frictionless surface and is held in the position shown by cord BC. Knowing that the cord is 21in. long, determine(a) The tension in the cord,(b) The reactions at A and B.
While being installed, the 56-lb chute ABCD is attached to a wall with brackets E and F and is braced with props GH and IJ. Assuming that the weight of the chute is uniformly distributed, determine the magnitude of the force exerted on the chute by prop GH if prop IJ is removed.
While being installed, the 56-lb chute ABCD is attached to a wall with brackets E and F and is braced with props GH and IJ. Assuming that the weight of the chute is uniformly distributed, determine the magnitude of the force exerted on the chute by prop IJ if prop GH is removed.
To water seedlings, a gardener joins three lengths of pipe, AB, BC, and CD, fitted with spray nozzles and suspends the assembly using hinged supports at A and D and cable EF. Knowing that the pipe weighs 0.85 lb/ft, determine the tension in the cable.
Solve Problem 4.144 assuming that cable EF is replaced by a cable connecting E and C. P4.144 To water seedlings, a gardener joins three lengths of pipe, AB, BC, and CD, fitted with spray nozzles and suspends the assembly using hinged supports at A and D and cable EF. Knowing that the pipe weighs
The bent rod ABDE is supported by ball-and-socket joints at A and E and by the cable DF. If a 600-N load is applied at C as shown, determine the tension in the cable.
Solve Problem 4.146 assuming that cable DF is replaced by a cable connecting B and F. P4.146 The bent rod ABDE is supported by ball-and-socket joints at A and E and by the cable DF. If a 600-N load is applied at C as shown, determine the tension in the cable.
Two rectangular plates are welded together to form the assembly shown. The assembly is supported by ball-and-socket joints at B and D and by a ball on a horizontal surface at C. For the loading shown, determine the reaction at C.
Two 1 × 2-m plywood panels, each of mass 15 kg, are nailed together as shown. The panels are supported by ball-and-socket joints at A and F and by the wire BH. Determine (a) The location of H in the xy plane if the tension in the wire is to be minimums?(b) The corresponding minimum tension.
Solve Problem 4.149 subject to the restriction that H must lie on the y axis. P4.149 Two 1 × 2-m plywood panels, each of mass 15 kg, are nailed together as shown. The panels are supported by ball-and-socket joints at A and F and by the wire BH. Determine(a) The location of H in the xy plane if the
A uniform 20 × 30-in. steel plate ABCD weighs 85 lb and is attached to ball-and-socket joints at A and B. Knowing that the plate leans against a frictionless vertical wall at D, determine(a) The location of D,(b) The reaction at D.
Beam AD carries the two 40-lb loads shown. The beam is held by a fixed support at D and by the cable BE which is attached to the counter-weight W. Determine the reaction at D when(a) W = 100 lb,(b) W = 90 lb.
For the beam and loading shown, determine the range of values of W for which the magnitude of the couple at D does not exceed 40 lb ⋅ft.
Determine the reactions at A and D when β = 30°.
Determine the reactions at A and D when β = 60°.
A 2100-lb tractor is used to lift 900 lb of gravel. Determine the reaction at each of the two(a) Rear wheels A,(b) Front wheels B.
A tension of 5 lb is maintained in a tape as it passes the support system shown. Knowing that the radius of each pulley is 0.4 in., determine the reaction at C.
Solve Problem 4.157 assuming that 0.6-in.-radius pulleys are used. P4.157 A tension of 5 lb is maintained in a tape as it passes the support system shown. Knowing that the radius of each pulley is 0.4 in., determine the reaction at C.
The bent rod ABEF is supported by bearings at C and D and by wire AH. Knowing that portion AB of the rod is 250 mm long, determine(a) The tension in wire AH,(b) The reactions at C and D. Assume that the bearing at D does not exert any axial thrust.
For the beam and loading shown, determine(a) The reaction at A,(b) The tension in cable BC.
Frame ABCD is supported by a ball-and-socket joint at A and by three cables. For a = 150 mm, determine the tension in each cable and the reaction at A.
Frame ABCD is supported by a ball-and-socket joint at A and by three cables. Knowing that the 350-N load is applied at D (a = 300 mm), determine the tension in each cable and the reaction at A.
In the problems listed below, the rigid bodies considered were completely constrained and the reactions were statically determinate. For each of these rigid bodies it is possible to create an improper set of constraints by changing a dimension of the body. In each of the following problems
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
For the area of Problem 5.8, determine the ratio r2/r1 so that y = 3r1/4.
Show that as r1 approaches r2, the location of the centroid approaches that of a circular arc of radius (r1 + r2)/2.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
The horizontal x axis is drawn through the centroid C of the area shown and divides the area into two component areas A1 and A2. Determine the first moment of each component area with respect to the x axis, and explain the results obtained.
The horizontal x axis is drawn through the centroid C of the area shown and divides the area into two component areas A1 and A2. Determine the first moment of each component area with respect to the x axis, and explain the results obtained.
The first moment of the shaded area with respect to the x axis is denoted by Qx.(a) Express Qx in terms of r and θ.(b) For what value of θ is Qx maximum, and what is the maximum value?
A composite beam is constructed by bolting four plates to four 2×2×3/8-in. angles as shown. The bolts are equally spaced along the beam, and the beam supports a vertical load. As proved in mechanics of materials, the shearing forces exerted on the bolts at A and B are proportional to the first
A thin, homogeneous wire is bent to form the perimeter of the figure indicated. Locate the center of gravity of the wire figure thus formed.
A thin, homogeneous wire is bent to form the perimeter of the figure indicated. Locate the center of gravity of the wire figure thus formed.
A thin, homogeneous wire is bent to form the perimeter of the figure indicated. Locate the center of gravity of the wire figure thus formed.
A thin, homogeneous wire is bent to form the perimeter of the figure indicated. Locate the center of gravity of the wire figure thus formed.
A 750 = g uniform steel rod is bent into a circular arc of radius 500 mm as shown. The rod is supported by a pin at A and the cord BC. Determine(a) The tension in the cord,(b) The reaction at A.
The homogeneous wire ABCD is bent as shown and is supported by a pin at B. Knowing that l = 8 in., determine the angle θ for which portion BC of the wire is horizontal.
The homogeneous wire ABCD is bent as shown and is supported by a pin at B. Knowing that θ = 30°, determine the length l for which portion CD of the wire is horizontal.
The homogeneous wire ABCD is bent as shown and is attached to a hinge at C. Determine the length L for which the portion BCD of the wire is horizontal.
Determine the distance h so that the centroid of the shaded area is as close to line BB′ as possible when(a) k = 0.2,(b) k = 0.6.
Show when the distance h is selected to minimize the distance y from line BB′ to the centroid of the shaded area that y = h.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and h.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and h.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and h.
Determine by direct integration the centroid of the area shown.
Determine by direct integration the centroid of the area shown.
Determine by direct integration the centroid of the area shown.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and b.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and b.
Determine by direct integration the centroid of the area shown.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and b.
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and b.
A homogeneous wire is bent into the shape shown. Determine by direct integration the x coordinate of its centroid. Express your answer in terms of a.
A homogeneous wire is bent into the shape shown. Determine by direct integration the x coordinate of its centroid.
A homogeneous wire is bent into the shape shown. Determine by direct integration the x coordinate of its centroid.
Determine by direct integration the centroid of the area shown.
Determine by direct integration the centroid of the area shown.
Determine the volume and the surface area of the solid obtained by rotating the area of Problem. 5.2 about(a) The x axis,(b) The line x = 165 mm.
Determine the volume and the surface area of the solid obtained by rotating the area of Problem 5.4 about(a) The line y = 22 mm,(b) The line x = 12 mm.
Determine the volume and the surface area of the solid obtained byrotating the area of Problem 5.1 about(a) The x axis,(b) The line x = 16 in.
Determine the volume of the solid generated by rotating the semielliptical area shown about(a) The axis AA′,(b) The axis BB′,(c) The y axis.
Determine the volume and the surface area of the chain link shown, which is made from a 2-in.-diameter bar, if R = 3 in. and L = 10 in.
Verify that the expressions for the volumes of the first four shapes in Figure 5.21 on page 261 are correct.
A 15-mm-diameter hole is drilled in a piece of 20-mm-thick steel; the hole is then countersunk as shown. Determine the volume of steel removed during the countersinking process.
Three different drive belt profiles are to be studied. If at any given time each belt makes contact with one-half of the circumference of its pulley, determine the contact area between the belt and the pulley for each design.
Determine the capacity, in gallons, of the punch bowl shown if 12 R = in.
The aluminum shade for a small high-intensity lamp has a uniform thickness of 3/32 in. Knowing that the specific weight of aluminum is 0.101 lb/in3, determine the weight of the shade.
The top of a round wooden table has the edge profile shown. Knowing that the diameter of the top is 1100 mm before shaping and that the density of the wood is 690 kg/m3, determine the weight of the waste wood resulting from the production of 5000 tops.
The top of a round wooden table has the shape shown. Determine how many liters of lacquer are required to finish 5000 tops knowing that each top is given three coats of lacquer and that 1 liter of lacquer covers 12 m2.
The escutcheon (a decorative plate placed on a pipe where the pipe exits from a wall) shown is cast from yellow brass. Knowing that the specific weight of yellow brass is 0.306 lb/in3 determine the weight of the escutcheon.

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