ch07-distributed-forces-centroids-and-centers-of-gravity

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ighthditionVector Mechanics for Engineers: StaticsTheorems of Pappus-Guldinus• Body of revolution is generated by rotating a planearea about a fixed axis.• Volume of a body of revolution isequal to the generating area timesthe distance traveled by the centroidthrough the rotation.V = 2yA© 2007 The McGraw-Hill Companies, Inc. All rights reserved.5 - 20
ighthditionVector Mechanics for Engineers: StaticsSample Problem 7.3SOLUTION:• Apply the theorem of Pappus-Guldinusto evaluate the volumes or revolutionfor the rectangular rim section and theinner cutout section.The outside diameter of a pulley is 0.8m, and the cross section of its rim is asshown. Knowing that the pulley ismade of steel and that the density ofsteel isdetermine the mass and weight of therim. = 7.85103kgm3• Multiply by density and accelerationto get the mass and acceleration.© 2007 The McGraw-Hill Companies, Inc. All rights reserved.5 - 21
Page 1 and 2: ighthditionVector Mechanics for Eng
Page 19: ighthditionVector Mechanics for Eng
Page 33 and 34: Problem 7.6y20 mm 30 mmLocate the c
Page 35 and 36: C 1C 2y20 + 10Problem 7.6 SolutionD
Page 37 and 38: y20 + 10ThenProblem 7.6 SolutionXS
Page 39 and 40: Problem 7.7Aw Aa24 kN 30 kN1.8 m0.3
Page 41 and 42: a24 kN 30 kN0.3 mProblem 7.7 Soluti
Page 43 and 44: 3 in2 in2 iny1 inr = 1.25 inxProble
Page 45 and 46: zIIIIIVyIVIx3 in2 in2 inr = 1.25 in
Page 47 and 48: yy = kx 1/3haxSolving Problems on Y
Page 49 and 50: yxdxProblem 7.9 SolutionIdentify an
Page 51 and 52: yxdxProblem 7.9 SolutionIntegrate a
Page 53 and 54: Problem 7.10Solving Problems on You
Page 55 and 56: Problem 7.10 SolutionA1.7 ftDetermi
Page 57: L AB /31.7 gAA yA xF B(1.8 ft) cos

ch07-distributed-forces-centroids-and-centers-of-gravity

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