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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
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 volume and total surface area of the body shown.
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 density of yellow brass is 8470 kg/m3, determine the mass of the escutcheon.
The top of a round wooden table has the edge profile shown. Knowing that the diameter of the top is 44 in. before shaping and that the specific weight of the wood is 0.025 5 lb/in.3, 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 gallons of lacquer are required to finish 5000 tops knowing that each top is given three coats of lacquer and that 1 gallon of lacquer covers 500 ft2.
The aluminum shade for a small high-intensity lamp has a uniform thickness of 1 mm, knowing that the density of aluminum is 2800 kg/m3, determine the mass of the shade.
The reflector of a small flashlight has the parabolic shape shown. Determine the surface area of the inside of the reflector.
For the beam and loading shown, determine(a) The magnitude and location of the resultant of the distributed load,(b) The reactions at the beam supports.
For the beam and loading shown, determine(a) The magnitude and location of the resultant of the distributed load,(b) The reactions at the beam supports.
Determine the reactions at the beam supports for the given loading.
Determine the reactions at the beam supports for the given loading.
Determine the reactions at the beam supports for the given loading.
Determine the reactions at the beam supports for the given loading.
Determine the reactions at the beam supports for the given loading.
Determine the reactions at the beam supports for the given loading.
Determine the reactions at the beam supports for the given loading when 0 1.5 kN/w = m.
Determine(a) The distributed load 0 w at the end D of the beam ABCD for which the reaction at B is zero,(b) The corresponding reactions at C.
Knowing that 300 N/ω = m, determine(a) The smallest distance a for which the vertical reaction at support B is twice that at A,(b) The corresponding reactions at the supports.
Knowing that 300 N/ω = m, determine(a) The distance a for which the ratio of the vertical reaction at support B to the vertical reaction at support A is a maximum,(b) The corresponding reactions at the supports.
A grade beam AB supports three concentrated loads and rests on soil and the top of a large rock. The soil exerts an upward distributed load, and the rock exerts a concentrated load ad RR as shown. Knowing that P = 1 kip and wB = 1/2wA determine the values of wA and RR corresponding to equilibrium.
A grade beam AB supports three concentrated loads and rests on soil and the top of a large rock. The soil exerts an upward distributed load, and the rock exerts a concentrated load RR as shown. Knowing that wB = 0.4wA, determine(a) The largest value of P for which the beam is in equilibrium,(b) T
The cross section of a concrete dam is as shown. For a dam section of unit width, determine(a) The reaction forces exerted by the ground on the base AB of the dam,(b) The point of application of the resultant of the reaction forces of part a,(c) The resultant of the pressure forces exerted by the
The cross section of a concrete dam is as shown. For a dam section of unit width, determine(a) The reaction forces exerted by the ground on the base AB of the dam,(b) The point of application of the resultant of the reaction forces of part a,(c) The resultant of the pressure forces exerted by the
An automatic valve consists of a 225 Ã 225-mm square plate that is pivoted about a horizontal axis through A located at a distance h = 90 mm above the lower edge. Determine the depth of water d for which the valve will open.
An automatic valve consists of a 225 Ã 225-mm square plate that is pivoted about a horizontal axis through A. If the valve is to open when the depth of water is d = 450 mm, determine the distance h from the bottom of the valve to the pivot A.
A freshwater marsh is drained to the ocean through an automatic tide gate that is 4 ft wide and 3 ft high. The gate is held by hinges located along its top edge at A and bears on a sill at B. At a given time, the water levels in the marsh and in the ocean are 6 ft and 9 h = d = ft, respectively.
The dam for a lake is designed to withstand the additional force caused by silt which has settled on the lake bottom. Assuming that silt is equivalent to a liquid of density ρs = 1.76 Ã 103 kg/m3 and considering a 1-m-wide section of dam, determine the percentage increase in the
The base of a dam for a lake is designed to resist up to 150 percent of the horizontal force of the water. After construction, it is found that silt (which is equivalent to a liquid of density ρs = 1.76 Ã 103 kg/m3) is settling on the lake bottom at a rate of 20 mm/yr, considering
A temporary dam is constructed in a 1.5-m-wide freshwater channel by nailing two boards to pilings located at the sides of the channel and propping a third board AB against the pilings and the floor of the channel. When rope BC is slack and neglecting friction, determine(a) The horizontal force
A temporary dam is constructed in a 1.5-m-wide freshwater channel by nailing two boards to pilings located at the sides of the channel and propping a third board AB against the pilings and the floor of the channel. Neglecting friction, determine the magnitude and direction of the minimum tension
The gate AB is located at the end of a 6-ft-wide water channel and is supported by hinges along its top edge A. Knowing that the floor of the channel is frictionless, determine the reactions at A and B.
A prismatically shaped gate placed at the end of a freshwater channel is supported by a pin and bracket at A and rests on a frictionless support at B. The pin is located at a distance 4 h = in. below the center of gravity C of the gate. Determine the depth of water d for which the gate will open.
A prismatically shaped gate placed at the end of a freshwater channel is supported by a pin and bracket at A and rests on a frictionless support at B. Determine the distance h if the gate is to open when 30 d = in.
The gate at the end of a 1-m-wide freshwater channel is fabricated from three 125-kg, rectangular steel plates. The gate is hinged at A and rests against a frictionless support at D. Knowing that 0.75 d = m, determine the reactions at A and D.
The gate at the end of a 1-m-wide freshwater channel is fabricated from three 125-kg, rectangular steel plates. The gate is hinged at A and rests against a frictionless support at D. Determine the depth of water d for which the gate will open.
A rain gutter is supported from the roof of a house by hangers that are spaced 24 in. apart. After leaves clog the gutters drain, the gutter slowly fills with rainwater. When the gutter is completely filled with water, determine(a) The resultant of the pressure force exerted by the
The composite body shown is formed by removing a hemisphere of radius r from a cylinder of radius R and height 2R. Determine(a) The y coordinate of the centroid when r = 3R/4,(b) The ratio r/R for which 1.2 y= − R.
Determine the y coordinate of the centroid of the body shown.
Determine the z coordinates of the centroid of the body shown.
Consider the composite body shown. Determine(a) The value of x when h = L/2,(b) The ratio h/L for which x = L.
For the machine element shown, locate the y coordinate of the center of gravity.
For the machine element shown, locate the z coordinate of the center of gravity.
For the stop bracket shown, locate the x coordinate of the center of gravity.
For the stop bracket shown, locate the z coordinate of the center of gravity.
For the machine element shown, locate the x coordinate of the center of gravity.
For the machine element shown, locate the y coordinate of the center of gravity.
Sheet metal of uniform thickness is used to fabricate a portion of the flashing for a roof. Locate the center of gravity of the flashing knowing that it is composed of the three elements shown.
Locate the center of gravity of the sheet metal form shown.
Locate the center of gravity of the sheet-metal form shown.
An enclosure for an electronic device is formed from sheet metal of uniform thickness. Locate the center of gravity of the enclosure.
A chute is made of sheet metal of uniform thickness. Locate the center of gravity of the chute.
A 8-in.-diameter cylindrical duct and a 4 8-Ã in. rectangular duct are to be joined as indicated. Knowing that the ducts are fabricated from the same sheet metal, which is of uniform thickness, locate the center of gravity of the assembly.
A window awning is fabricated from sheet metal of uniform thickness. Locate the center of gravity of the awning.
The thin, plastic front cover of a wall clock is of uniform thickness. Locate the center of gravity of the cover.
A thin brass rod of uniform cross section is bent into the shape shown. Locate its center of gravity.
A thin steel wire of uniform cross section is bent into the shape shown, where arc BC is a quarter circle of radius R. Locate its center of gravity.
The decorative metalwork at the entrance of a store is fabricated from uniform steel structural tubing. Knowing that 4 R = ft, locate the center of gravity of the metalwork.
The frame of a portable equipment cover is fabricated from steel pipe of uniform diameter. Locate the center of gravity of the frame.
A scratch awl has a plastic handle and a steel blade and shank. Knowing that the specific weight of plastic is 0.0374 lb/in3 and that of steel is 0.284 lb/in3 locate the center of gravity of the awl.
A flat-belt idler pulley is molded from polycarbonate with a bronze bushing. Knowing that the densities of polycarbonate and bronze are 1250 kg/m3 and 8800 kg/m3, respectively, determine the x coordinate of the center of gravity of the pulley.
A marker for a garden path consists of a truncated regular pyramid carved from stone of density 2570 kg/m3. The pyramid is mounted on a steel base of thickness h. Knowing that the density of steel is 7860 kg/m3 and that steel plate is available in 5-mm increments, specify the minimum thickness h
Three brass plates are brazed to a steel pipe to form the flagpole base shown. Knowing that the pipe has a wall thickness of 0.25 in. and that each plate is 0.2 in. thick, determine the location of the center of gravity of the base. (Specific weights: brass = 0.306 lb/in3, steel = 0.284 lb/in3)
Determine by direct integration the values of x for the two volumes obtained by passing a vertical cutting plane through the given shape of Fig. 5.21. The cutting plane is parallel to the base of the given shape and divides the shape into two volumes of equal height a hemisphere.
Determine by direct integration the values of x for the two volumes obtained by passing a vertical cutting plane through the given shape of Fig. 5.21. The cutting plane is parallel to the base of the given shape and divides the shape into two volumes of equal height.
Determine by direct integration the values of x for the two volumes obtained by passing a vertical cutting plane through the given shape of Fig. 5.21. The cutting plane is parallel to the base of the given shape and divides the shape into two volumes of equal height a paraboloid of revolution.
Locate the centroid of the volume obtained by rotating the shaded area about the x axis.
Locate the centroid of the volume obtained by rotating the shaded area about the x axis.
Locate the centroid of the volume obtained by rotating the shaded area about the line x = a.
Locate the centroid of the volume generated by revolving the portion of the cosine curve shown about the x axis.
Locate the centroid of the volume generated by revolving the portion of the cosine curve shown about the y axis.
Show that for a regular pyramid of height h and n sides (3, n = 4, . . .) the centroid of the volume of the pyramid is located at a distance h / 4 above the base.
A thin spherical cup has a radius R and a uniform thickness t. Show by direct integration that the center of the cup is located at a distance h/2 above the base of the cup.
The sides and the base of a punch bowl are of uniform thickness t. If t
After grading a lot, a builder places four stakes to designate the corners of the slab for a house. To provide a firm, level base for the slab, the builder places a minimum of 3 in. of gravel beneath the slab. Determine the volume of gravel needed and the x coordinate of the centroid of the volume
Determine by direct integration the z coordinate of the centroid of the volume shown, which was cut from a rectangular prism by an oblique plane given by the equation y = y0 y1(x/a) y2 (z/b).
Locate the centroid of the section shown, which was cut from a circular cylinder by an inclined plane.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
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.
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 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 b.
Determine the capacity, in gallons, of the punch bowl shown if 12 R = in.
Determine the reactions at the beam supports for the given loading.
Determine the reactions at the beam supports for the given loading.
The 9 Ã 12-ft side AB of a tank is hinged at its bottom A and is held in place by a thin rod BC. The maximum tensile force the rod can withstand without breaking is 40 kips, and the design specifications require the force in the rod not to exceed 20 percent of this value. If the tank
For the machine element shown, determine the x coordinate of the center of gravity.
A mounting bracket for electronic components is formed from sheet metal of uniform thickness. Locate the center of gravity of the bracket.
Locate the centroid of the plane area shown.
Locate the centroid of the plane area shown.
Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.
Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.
Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.
Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.
Determine the force in each member of the truss shown. State whether each member is in tension or compression.
Determine the force in each member of the Gambrel roof truss shown. State whether each member is in tension or compression.
Determine the force in each member of the half hip truss shown. State whether each member is in tension or compression.
Determine the force in each member of the Fink truss shown. State whether each member is in tension or compression.
Solve Prob. 6.12 assuming that the 2.8-kN load at E has been removed. Problem 6.12: Determine the force in each member of the Fink truss shown. State whether each member is in tension or compression.
Determine the force in each member of the roof truss shown. State whether each member is in tension or compression.
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