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engineering
civil engineering
Engineering Mechanics Statics 12th Edition R. C. Hibbeler - Solutions
Locate the centroid y of thearea.
Locate the centroid (x, y) of thearea.
Determine the area and the centroid (x, y) of thearea.
Locate the centroid x of thearea.
Locate the centroid y of thearea.
Locate the centroid x of thearea.
Locate the centroid y of thearea.
The steel plate is 0.3 m thick and has a density of 7850 kg/m3. Determine the location of its center of mass. Also determine the horizontal and vertical reactions at the pin and the reaction at the roller support.
Locate the centroid of the area.
Locate the centroid x of thearea.
Locate the centroid y of thearea.
If the density at any point in the rectangular plate is defined by ? = ?0(1 + x/a), where ?0?is a constant, determine the mass and locate the center of mass x of the plate. The plate has a thickness t.
Locate the centroid y of the homogeneous solid formed by revolving the shaded area about the yaxis.
Locate the centroid z of thesolid.
Locate the centroid y of the homogeneous solid formed by revolving the shaded area about the yaxis.
Locate the centroid z of the homogeneous solid frustum of the paraboloid formed by revolving the shaded area about the zaxis.
Locate the centroid y of the homogeneous solid formed by revolving the shaded area about the yaxis.
Locate the center of mass y of the circular cone formed by revolving the shaded area about the y axis. The density at any point in the cone is defined by ? = (?0/h)y, where ?0 is a constant.
Determine the mass and locate the center of mass y of the hemisphere formed by revolving the shaded area about the y axis. The density at any point in the hemisphere can be defined by ? = ?0(1 + y/a), where ?0 is a constant.
Determine the volume and locate the Centroid (y, z) of the homogeneous conicalwedge.
The hemisphere of radius r is made from a stack of very thin plates such that the density varies with height, ? = kz, where k is a constant. Determine its mass and the distance z to the center of mass G.
Locate the centroid (x, y) of the uniform wire bent in the shapeshown.
Locate the centroid (x, y, z) of thewire.
Locate the centroid (x, y, z) of thewire.
Locate the centroid (x, y, z) of the wire which is bent in the shapeshown.
The truss is made from seven members, each having a mass per unit length of 6 kg/m. Locate the position (x, y) of the center of mass. Neglect the mass of the gusset plates at thejoints.
Locate the centroid (x, y) of the wire. If the wire is suspended from A, determine the angle segment AB makes with the vertical when the wire is inequilibrium.
Each of the three members of the frame has a mass per unit length of 6 kg/m. Locate the position (x, y) of the center of mass. Neglect the size of the pins at the joints and the thickness of the members. Also, calculate the reactions at the pin A and rollerE.
Locate the centroid (x, y) of the cross-sectional area of thechannel.
Locate the centroid y of the cross-sectional area of the concretebeam.
Locate the centroid y of the cross-sectional area of the built-upbeam.
Locate the centroid y of the channel?s cross-sectional area.
Locate the distance y to the centroid of the member?s cross-sectional area.
Locate the centroid y of the cross-sectional area of the built-upbeam.
Locate the centroid x of the compositearea.
Locate the centroid (x, y) of the compositearea.
Locate the centroid (x, y) of the compositearea.
Divide the plate into parts, and using the grid for measurement, determine approximately the location (x, y) of the centroid of theplate.
To determine the location of the center of gravity of the automobile it is first placed in a level position, with the two wheels on one side resting on the scale platform P. In this position the scale records a reading of W1. Then, one side is elevated to a convenient height c as shown. The new
Locate the centroid y of the cross-sectional area of the built-upbeam.
Locate the centroid y of the cross-sectional area of the built-upbeam.
The composite plate is made from both steel (A) and brass (B) segments. Determine the mass and location (x, y, z) of its mass center G. Take ρst = 7.85 Mg/m3 and Ρbr = 8.74Mg>m3.
The car rests on four scales and in this position the scale readings of both the front and rear tires are shown by FA and FB. When the rear wheels are elevated to a height of 3 ft above the front scales, the new readings of the front wheels are also recorded. Use this data to compute the location x
Uniform blocks having a length L and mass m are stacked one on top of the other, with each block overhanging the other by a distance d, as shown. If the blocks are glued together, so that they will not topple over, determine the location x of the center of mass of a pile of nblocks.
Uniform blocks having a length L and mass m are stacked one on top of the other, with each block overhanging the other by a distance d, as shown. Show that the maximum number of blocks which can be stacked in this manner is n
Locate the center of gravity (x, y) of the sheet-metal bracket if the material is homogeneous and has a constant thickness. If the bracket is resting on the horizontal x?y plane shown, determine the maximum angle of tilt ? which it can have before it falls over, i.e., begins to rotate about the y
Locate the center of mass for the compressor assembly. The locations of the centers of mass of the various components and their masses are indicated and tabulated in the figure. What are the vertical reactions at blocks A and B needed to support theplatform?
Major floor loadings in a shop are caused by the weights of the objects shown. Each force acts through its respective center of gravity G. Locate the center of gravity (x, y) of all thesecomponents.
Locate the center of mass of the (x, y, z) homogeneous blockassembly.
Locate the center of mass z of the assembly. The hemisphere and the cone are made from materials having densities of 8 Mg/m3 and 4 Mg/m3,respectively.
Locate the center of mass z of the assembly. The cylinder and the cone are made from materials having densities of 5 Mg/m3 and 9 Mg/m3,respectively.
Locate the center of gravity of the (x, y, z) homogeneous block assembly having a hemisphericalhole.
Locate the center of gravity (x, y, z) of the assembly. The triangular and the rectangular blocks are made from materials having specific weights of 0.25 lb/in3 and 0.1 lb>in3,respectively.
Determine the distance x to the centroid of the solid which consists of a cylinder with a hole of length h = 50 mm bored into itsbase.
Determine the distance h to which a hole must be bored into the cylinder so that the center of mass of the assembly is located at x = 64 mm. The material has a density of 8Mg/m3.
The assembly is made from a steel hemisphere, ρst = 7.80 Mg/m3, and an aluminum cylinder, ρst = 2.70 Mg/m3. Determine the mass center of the assembly if the height of the cylinder is h = 200mm.
The assembly is made from a steel hemisphere, ρst = 7.80 Mg/m3, and an aluminum cylinder, ρal = 2.70 Mg/m3. Determine the height h of the cylinder so that the mass center of the assembly is located at z = 160mm.
The elevated water storage tank has a conical top and hemispherical bottom and is fabricated using thin steel plate. Determine how many square feet of plate is needed to fabricate thetank.
The elevated water storage tank has a conical top and hemispherical bottom and is fabricated using thin steel plate. Determine the volume within thetank.
Determine the volume of the solid formed by revolving the shaded area about the x axis using the second theorem of Pappus?Guldinus. The area and centroid of the shaded area should first be obtained by using integration.
Determine the surface area from A to B of thetank.
Determine the volume within the thin-walled tank from A toB.
Determine the surface area of the solid formed by revolving the shaded area 360? about the z axis.
Determine the volume of the solid formed by revolving the shaded area 360? about the z axis.
Determine the volume of the solid formed by revolving the shaded area 360? about the z axis.
Determine the surface area and volume of the solid formed by revolving the shaded area 360? about the z axis.
Determine the surface area and volume of the solid formed by revolving the shaded area 360? about the z axis.
The process tank is used to store liquids during manufacturing. Estimate both the volume of the tank and its surface area. The tank has a flat top and a thinwall.
The thin-wall tank is fabricated from a hemisphere and cylindrical shell. Determine the vertical reactions that each of the four symmetrically placed legs exerts on the floor if the tank contains water which is 12 ft deep in the tank. The specific gravity of water is 62.4 lb/ft3. Neglect the weight
Determine the approximate amount of paint needed to cover the outside surface of the open tank. Assume that a gallon of paint covers 400ft2.
Determine the surface area of the tank, which consists of a cylinder and hemisphericalcap.
Determine the volume of the thin-wall tank, which consists of a cylinder and hemisphericalcap.
The water tank AB has a hemispherical top and is fabricated from thin steel plate. Determine the volume within thetank.
The water tank AB has a hemispherical roof and is fabricated from thin steel plate. If a liter of paint can cover 3 m2 of the tank?s surface, determine how many liters are required to coat the surface of the tank from A to B.
Determine the surface area and volume of the wheel formed by revolving the cross-sectional area 360o about the zaxis.
Determine the outside surface area of the storagetank.
Determine the volume of the thin-wall storagetank.
Determine the height h to which liquid should be poured into the conical paper cup so that it contacts half the surface area on the inside of thecup.
The concrete ?gravity? dam is held in place by its own weight. If the density of concrete is ?c = 2.5 Mg/m3, and water has a density of ?w = 1.0 Mg/m3, determine the smallest dimension d that will prevent the dam from overturning about its end A.
The tank is used to store a liquid having a specific weight of 60 lb/ft3. If the tank is full, determine the magnitude of the hydrostatic force on plates CDEF andABDC.
The circular steel plate A is used to seal the opening on the water storage tank. Determine the magnitude of the resultant hydrostatic force that acts on it. The density of water is ?w = 1 Mg/m3.
The elliptical steel plate B is used to seal the opening on the water storage tank. Determine the magnitude of the resultant hydrostatic force that acts on it. The density of water is ρw = 1Mg/m3.
Determine the magnitude of the hydrostatic force acting on the glass window if it is circular, A. The specific weight of seawater is ?w = 63.6 lb/ft3.
Determine the magnitude and location of the resultant hydrostatic force acting on the glass window if it is elliptical, B. The specific weight of seawater is ?w = 63.6 lb/ft3.
Determine the magnitude of the hydrostatic force acting per foot of length on the seawall. ?w = 62.4 lb/ft3.
If segment AB of gate ABC is long enough, the gate will be on the verge of opening. Determine the length L of this segment in order for this to occur. The gate is hinged at B and has a width of 1 m. The density of water is ?w = 1 Mg/m3.
If L = 2 m, determine the force the gate ABC exerts on the smooth stopper at C. The gate is hinged at B, free at A, and is 1 m wide. The density of water is ?w = 1 Mg/m3.
Determine the mass of the counterweight A if the 1-m-wide gate is on the verge of opening when the water is at the level shown. The gate is hinged at B and held by the smooth stop at C. The density of water is ?w = 1 Mg/m3.
If the mass of the counterweight at A is 6500 kg, determine the force the gate exerts on the smooth stop at C. The gate is hinged at B and is 1-m wide. The density of water is ?w = 1 Mg/m3.
The concrete gravity dam is designed so that it is held in position by its own weight. Determine the factor of safety against overturning about point A if x = 2 m. The factor of safety is defined as the ratio of the stabilizing moment divided by the overturning moment. The densities of concrete and
The concrete gravity dam is designed so that it is held in position by its own weight. Determine the minimum dimension x so that the factor of safety against overturning about point A of the dam is 2.The factor of safety is defined as the ratio of the stabilizing moment divided by the overturning
The underwater tunnel in the aquatic center is fabricated from a transparent polycarbonate material formed in the shape of a parabola. Determine the magnitude of the hydrostatic force that acts per meter length along the surface AB of the tunnel. The density of the water is ?w = 1000 kg/m3.
Locate the centroid x of the shadedarea.
Locate the centroid y of the shadedarea.
Locate the centroid of the beam?s cross-sectional area.
Locate the centroid z of thesolid.
The steel plate is 0.3 m thick and has a density of 7850 kg/m3. Determine the location of its center of mass. Also compute the reactions at the pin and rollersupport.
Locate the centroid (x, y) of thearea.
Determine the location (x, y) of the centroid for the structural shape. Neglect the thickness of themember.
Locate the centroid y of the shadedarea.
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