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HW22-Solution - HW22 Solution Terry Cooke Cal Poly San Luis...

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HW22 - Solution Terry Cooke: Cal Poly San Luis Obispo
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Chapter 5, Solution 55 First, from Figure 5.8a we have 4 3 2 5 A ah y h Applying the second theorem of Pappus-Guldinus we have ( a ) Rotation about the x axis: Volume 2 2 4 2 5 3 yA h ah    or 2 16 Volume 15 ah ( b ) Rotation about the line : AA Volume 2 (2 ) 4 2 (2 ) 3 a A a ah or 2 16 Volume 3 a h
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Chapter 5, Solution 58 The required volume can be generated by rotating the area shown about the y axis. Applying the second theorem of Pappus-Guldinus, we have 2 3 1 1 1 1 1 2 in. in. in. 8 3 4 2 4 4 V x A 3 0.0900 in. V
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Chapter 5, Solution 61 The mass of the lamp shade is given by m V At Where A is the surface area and t is the thickness of the shade. The area can be generated by rotating the line
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