HW22-Solution

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

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Unformatted text preview: HW22 - Solution Terry Cooke: Cal Poly San Luis Obispo Chapter 5, Solution 55 First, from Figure 5.8a we have A y 4 ah 3 2 h 5 Applying the second theorem of Pappus-Guldinus we have (a) Rotation about the x axis: Volume 2 yA 2 2 h 5 4 ah 3 16 ah 2 15 or Volume (b) Rotation about the line AA : Volume 2 (2a ) A 2 (2a) 4 ah 3 16 2 ah 3 or Volume 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 V 2 xA 2 3 8 11 in. 34 1 2 1 1 in. in. 4 4 V 0.0900 in.3 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 shown about the x axis. Applying the first theorem of Pappus Guldinus we have A 2 yL 2 ( y1 L1 2 yL y2 L2 y3 L3 y4 L4 ) or A2 13 mm (13 mm) 2 16 28 mm 2 28 33 mm 2 13 16 mm 2 (12 mm) 2 (32 mm)2 (3 mm)2 (8 mm)2 (28 mm) 2 (5 mm) 2 2 (84.5 466.03 317.29 867.51) 10903.4 mm 2 Then m At (2800 kg/m3 )(10.9034 10 3 m 2 )(0.001 m) or m 0.0305 kg ...
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This note was uploaded on 01/13/2011 for the course ME 211 taught by Professor Staff during the Fall '05 term at Cal Poly.

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