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engineering
mechanical engineering
Vector Mechanics For Engineers Statics And Dynamics 8th Edition Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell - Solutions
Cable CD is attached to the 10-m mast ABC as shown. The base A of the mast is supported by a ball-and-socket joint, and the mast is guyed by cables BE and BF. Knowing g that φ = 8° and that the tensions in cables BE and BF are 840 N and 450 N, respectively, determine(a) The value
A 2.4-m-long boom is held by a ball-and-socket joint at C and by two cables AD and BE. Determine the tension in each cable and the reaction at C.
Solve Prob. 4.116 assuming that the given 880-N load is replaced with two 440-N loads applied at A and B. Problem 4.116: A 2.4-m-long boom is held by a ball-and-socket joint at C and by two cables AD and BE. Determine the tension in each cable and the reaction at C.
Two steel pipes ABCD and EBF are welded together at B to form the boom shown. The boom is held by a ball-and-socket joint at D and by two cables EG and ICFH; cable ICFH passes around frictionless pulleys at C and F. For the loading shown, determine the tension in each cable and the reaction at D.
Solve Prob. 4.118 assuming that the 140-lb load is applied at B. Problem 4.118: Two steel pipes ABCD and EBF are welded together at B to form the boom shown. The boom is held by a ball-and-socket joint at D and by two cables EG and ICFH; cable ICFH passes around frictionless pulleys at C and F. For
The lid of a roof scuttle weighs 75 lb. It is hinged at corners A and B and maintained in the desired position by a rod CD pivoted at C; a pin at end D of the rod fits into one of several holes drilled in the edge of the lid. For the position shown, determine(a) The magnitude of the force exerted
The lever AB is welded to the bent rod BCD which is supported by bearings at E and F and by cable DG. Knowing that the bearing at E does not exert any axial thrust, determine(a) The tension in cable DG,(b) The reactions at E and F.
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 tension in the cable,(b) The reactions at A and B.
Solve Prob. 4.122 assuming that cable EF is replaced by a cable attached at points E and H. Problem 4.122: 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 having a mass of 7 kg 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)
Solve Prob. 4.124 assuming that the rope is attached to the door at I. Problem 4.124: A small door having a mass of 7 kg 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
The horizontal platform ABCD weighs 60 lb and supports a 240-lb load at its center. The platform is normally held in position by hinges at A and B and by braces CE and DE. If brace DE is removed, determine the reactions at the hinges and the force exerted by the remaining brace CE. The hinge at A
A 1.2 2.4-× m sheet of plywood is temporarily held by nails at D and E and by two wooden braces nailed at A, B, and C. Wind is blowing on the hidden face of the plywood sheet, and it is assumed that its effect can be represented by a force Pk applied at the center of the sheet. Knowing
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 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.
The bearing of lever ABD is free to slide along and to rotate about the horizontal pin at B. Knowing that the 24-N force lies in a plane parallel to the xy plane and that the bearing can exert couples about the y and z axes, determine(a) The forces in the stretched springs CF and DE,(b) The
Solve Prob. 4.124 assuming that the hinge at A is removed and that the hinge at B can exert couples about the y and x axes. Problem 4.124: A small door having a mass of 7 kg 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
The rigid L-shaped member ABC is supported by a ball and socket at A and by three cables. Determine the tension in each cable and the reaction at A caused by the 500-lb load applied at G.
Solve Prob. 4.132 assuming that an additional downward load of 800 lb is applied at C. Problem 4.132: The rigid L-shaped member ABC is supported by a ball and socket at A and by three cables. Determine the tension in each cable and the reaction at A caused by the 500-lb load applied at G.
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.
Three rods of lengths 9 in., a= b=6 in., and c = 12 in. are welded together to form the component shown. The component is supported by eyebolts at A and C and by a shallow slot cut in a block at B. Neglecting friction, determine the reactions at A, B, and C when P = 40 lb, MA=36 lb ∙ ft, and
Three rods of lengths a = 240 mm, 200mm b = 200mm, and c = 180 mm are welded together to form the component shown. The component is supported by eyebolts at A and C and by a shallow slot cut in a block at B. Neglecting friction, determine the reactions at A, B, and C when P = 60 N,MA=6.3 N ∙
To clean the clogged drainpipe AE, a plumber 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 the pipe. The
Solve Prob. 4.138 assuming that the plumber exerts a force F= − (80 N)k and that the motor is turned off (M = 0). Problem 4.138: To clean the clogged drainpipe AE, a plumber disconnected both ends of the pipe and inserted a power snake through the opening at A. The cutting head of the snake
A 525-mm-long uniform rod AB has a mass of 3 kg 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 525 mm long, determine(a) The tension in the cord,(b) The reactions at A and
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.
While being installed, the 25-kg chute ABCD is attached to a wall with brackets and E and F and is braced with props GH and IJ at its outer edge. 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
While being installed, the 25-kg chute ABCD is attached to a wall with brackets and E and F and is braced with props GH and IJ at its outer edge. 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
The frame ACD is supported by ball-and-socket joints at A and D and by a cable that passes through a ring at B and is attached to hooks at G and H. Knowing that the frame supports at point C a load of magnitude 75 P = lb, determine the tension in the cable.
Solve Prob. 4.144, assuming that the cable GBH is replaced by a cable GB attached at G and B. Problem 4.144: The frame ACD is supported by ball-and-socket joints at A and D and by a cable that passes through a ring at B and is attached to hooks at G and H. Knowing that the frame supports at point C
Two 3 6-× ft plywood panels each weighing 30 lb 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 minimum:(b) The corresponding minimum
Solve Prob. 4.146 subject to the restriction that H must lie on the y axis. Problem 4.146: Two 3 6-× ft plywood panels each weighing 30 lb 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
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 has a mass per unit length of 1.25 kg/m, determine the tension in the cable.
Solve Prob. 4.148 assuming that cable EF is replaced by a cable connecting E and C. Problem 4.148: 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 has
Member ABCD of length 31.5 in. is supported by ball-and-socket joints at A and B and is trisected by arms CE and DF which are welded to the member. For the loading shown, determine the tension in cable FG.
A uniform 0.5 x 0.75-m steel plate ABCD has a mass of 40 kg 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.
The maximum allowable value of each of the reactions is 360 N. Neglecting the weight of the beam, determine the range of values of the distance d for which the beam is safe.
Determine the maximum tension which can be developed in cable AB if the maximum allowable value of the reaction at C is 1000 N.
Neglecting friction, determine the tension in cable ABD and the reaction at support C.
Knowing that the tension in wire BD is 300 lb, determine the reaction at fixed support C for the frame shown.
A uniform rod having a length of l m and mass of 2 kg is suspended from two cords AC and BC. Determine the angle θ corresponding to the equilibrium position when a couple M of magnitude 3 N ∙ m is applied to the rod.
A 200-lb crate is attached to the trolley-beam system shown. Knowing that 1.5 a = ft, determine(a) The tension in cable CD,(b) The reaction at B.
Rod AB is bent into the shape of a circular arc and is lodged between two pegs D and E. It supports a load P at end B. Neglecting friction and the weight of the rod, determine the distance c corresponding to equilibrium when a = 25 mm and R = 125 mm.
A 1.2 2.4-× m sheet of plywood having a mass of 17 kg has been temporarily placed among three pipe supports. The lower edge of the sheet rests on small collars A and B and its upper edge leans against pipe C. Neglecting friction at all surfaces, determine the reactions at A, B, and C.
A 30-kg cover for a roof opening is hinged at corners A and B. The roof forms s an angle of 30o with the horizontal, and the cover is maintained in a horizontal position by the brace CE. Determine(a) The magnitude of the force exerted by the brace,(b) The reactions at the hinges. Assume that the
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
The rigid L-shaped member ABF is supported by a ball-and-socket joint at A and by three cables. For the
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.
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 Prob. 5.8, determine the ratio o r2/r1 so that X= 4r1/3.
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 60 × 60 ×12-mm 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
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 1.75-lb uniform steel rod is bent into a circular arc of radius 20 in. 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 200 l = mm, 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 at θ = 30°, determine the length l for which portion CD of the wire is horizontal.
Knowing that the figure shown is formed of a thin homogeneous wire, determine the length l of portion CE of the wire for which the center of gravity of the figure is located at point C when(a) θ = 15°,(b) θ = 60°.
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€² 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.
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. Express your answer in terms of a.
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 Prob. 5.2 about(a) The x axis,(b) The lines 19 x = in.
Determine the volume and the surface area of the solid obtained by rotating the area of Prob. 5.4 about(a) The y axis,(b) The line 40 y = in.
Determine the volume and the surface area of the solid obtained by rotating the area of Prob. 5.1 about(a) The x axis,(b) The line 400 x = mm.
Determine the volume of the solid generated by rotating the semi elliptical area shown about(a) The axis AA€²,(b) The axis BB€²,(c) The y axis.
Determine the volume and the surface area of the chain link shown knowing that it is made from a 0.5-in.-diameter bar and that R = 0.75in and L = 3in.
Verify that the expressions for the volumes of the first four shapes in Fig. 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.
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