PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 9, Problem 103P
To determine
The surface area of the ring
The volume of the ring
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From the spandrel segment and semicircle shown in the picture, determine the volume generated by rotating the area through one revolution about the y-axis.
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Determine the volume, by using Pappus’ Theorem, generated by revolving the composite areas about the x-axis.
Chapter 9 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 9 - Determine the centroid (x,y) of the shaded area....Ch. 9 - Determine the centroid (x,y) of the shaded area....Ch. 9 - Determine the centroid of the shaded area. Prob....Ch. 9 - Locate the centroid of the homogeneous solid...Ch. 9 - Locate the centroid z of the homogeneous solid...Ch. 9 - Locate the center of gravity x of the homogeneous...Ch. 9 - Locate the center of gravity of the homogeneous...Ch. 9 - Locate the centroid of the area.Ch. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Locate the centroid of the shaded area. Probs....
Ch. 9 - Locate the centroid x of the area. Probs. 9-11/12Ch. 9 - Locate the centroid of the area. Probs. 9-11/12Ch. 9 - Locate the centroid x of the area. Probs. 9-13/14Ch. 9 - Locate the centroid of the area. Probs. 9-13/14Ch. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Locate the centroid of the shaded area. Probs....Ch. 9 - Prob. 23PCh. 9 - Locate the centroid of the shaded area. Probs....Ch. 9 - Prob. 25PCh. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Locate the centroid of the shaded area. Probs....Ch. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - Locate the centroid x of the shaded area. Probs....Ch. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - Prob. 40PCh. 9 - Prob. 50PCh. 9 - Locate the centroid (x,y,z) of the wire bent in...Ch. 9 - Prob. 8FPCh. 9 - Prob. 9FPCh. 9 - Prob. 10FPCh. 9 - Prob. 11FPCh. 9 - Prob. 51PCh. 9 - Prob. 52PCh. 9 - Prob. 54PCh. 9 - Prob. 56PCh. 9 - Prob. 60PCh. 9 - Locate the centroid (x,y) of the shaded area....Ch. 9 - Locate the centroid of the cross-sectional area...Ch. 9 - Prob. 72PCh. 9 - The sheet metal part has the dimensions shown....Ch. 9 - Prob. 77PCh. 9 - Prob. 79PCh. 9 - Prob. 80PCh. 9 - Prob. 81PCh. 9 - Prob. 82PCh. 9 - Prob. 83PCh. 9 - Prob. 87PCh. 9 - Prob. 89PCh. 9 - Prob. 13FPCh. 9 - Prob. 14FPCh. 9 - Prob. 15FPCh. 9 - Prob. 16FPCh. 9 - Prob. 91PCh. 9 - Prob. 92PCh. 9 - Prob. 95PCh. 9 - Prob. 96PCh. 9 - Determine the volume of concrete needed to...Ch. 9 - Determine the surface area of the curb. Do not...Ch. 9 - Prob. 103PCh. 9 - Prob. 105PCh. 9 - Prob. 107PCh. 9 - Prob. 113PCh. 9 - Determine the magnitude of the hydrostatic force...Ch. 9 - Determine the magnitude of the hydrostatic force...Ch. 9 - Prob. 19FPCh. 9 - Prob. 20FPCh. 9 - Prob. 21FPCh. 9 - The load over the plate varies linearly along the...Ch. 9 - Prob. 118PCh. 9 - Prob. 119PCh. 9 - When the tide water A subsides, the tide gate...Ch. 9 - The tank is filled with water to a depth of d = 4...Ch. 9 - Prob. 127PCh. 9 - Prob. 128PCh. 9 - Prob. 1RPCh. 9 - Prob. 2RPCh. 9 - Prob. 3RPCh. 9 - Prob. 4RPCh. 9 - Prob. 5RPCh. 9 - Prob. 6RPCh. 9 - Prob. 7RPCh. 9 - Prob. 8RPCh. 9 - The gate AB is 8 m wide. Determine the horizontal...Ch. 9 - Prob. 10RP
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- Determine the centroidal coordinates of the plane region by numerical integration.arrow_forwardLocate the centroid of the volume generated by revolving the area shown about the line AB. Use numerical integration.arrow_forwardCalculate the area of the surface generated when the plane z-curve is rotated about (a) the x-axis; and (b) the y-axis.arrow_forward
- The sheet metal trough has a uniform wall thickness. Determine the coordinates of its center of gravity.arrow_forwardUsing the method of composite areas, find the dimension h that maximizes the centroid coordinate y of the plane region shown.arrow_forwardDetermine the volume Vand total surface area A of the solid generated by revolving the area shown through 180° about the z-axis. 31 mm 24 mm 65 mm Answers: V= mm? A = mm?arrow_forward
- Consider the plane area shown where r = 12 in Determine the volume and the surface area of the solid obtained by rotating the area about the y-axis. The volume of the solid is × 103 in3. The area of the solid is × 103 in2.arrow_forwardDetermine the volume V and total surface area A of the solid generated by revolving the area shown through 180° about the z-axis. Answers: V= A = i i 78 mm mm³ mm² 30 mm 22 mmarrow_forwardThe cross section of a rubber V belt is shown. If the belt has circular shape about the axis of revolution with an inside radius r = 5 in., determine the volume of material in the belt and the surface area of the belt. The volume of the material in the belt is in.3 and the surface area of the belt is in.2arrow_forward
- Determine the volume Vand total surface area A of the solid generated by revolving the area shown through 180° about the z-axis. 43 mm 30 mm 81 mm Answers: V = i mm3 A = mm2arrow_forwardUse the theorems of Pappus and Guldinus to solve the fol- lowing problems. Determine the volume V of the solid body generated by re- volving The shaded area of Fig. through an angle of 360° about the x-axis. -10 in.- 10 in.- 4 in. 4 in. 4 in. 4 in. 16 in. 4 in. 6 in.arrow_forwardUse the theorems of Pappus and Guldinus to solve the fol- löwing problems. Determine the surface area A and volume V of the solid body generated by revolving The shaded area of Fig. 360° about the y-axts. through an angle of 100 mm 200 mmarrow_forward
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