374_Physics ProblemsTechnical Physics

374_Physics ProblemsTechnical Physics - 376 P12.66 Static...

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376 Static Equilibrium and Elasticity P12.66 The CG lies above the center of the bottom. Consider a disk of water at height y above the bottom. Its radius is 25 0 35 0 25 0 30 0 25 0 3 .. . . . cm cm cm cm +− F H G I K J =+ af yy Its area is π 25 0 3 2 . cm + F H G I K J y . Its volume is 25 0 3 2 + F H G I K J y dy and its mass is πρ 25 0 3 2 + F H G I K J y dy . The whole mass of the water is Md m dy My M M y == + + F H G I K J + L N M M O Q P P + L N M M O Q P P = zz 0 30 0 2 0 30 0 23 0 30 0 3 625 50 0 39 625 50 0 62 7 625 30 0 50 0 30 0 6 30 0 27 10 27 250 85 6 . . . . . . cm cm 33 kg cm cm kg afaf ej e j The height of the center of gravity is y ydm M y d y M M y
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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