300_Physics ProblemsTechnical Physics

300_Physics - 302 P10.45 Rotation of a Rigid Object About a Fixed Axis(a For the counterweight Fy = ma y becomes For the reel = I 50.0 T = FG 50.0

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302 Rotation of a Rigid Object About a Fixed Axis P10.45 (a) For the counterweight, Fm a yy = becomes: 50 0 50 0 980 . . . −= F H G I K J Ta For the reel τα = I reads TR I I a R == α where IM R 1 2 00938 2 . k g m 2 We substitute to eliminate the acceleration: 50 0 5 10 2 .. F H G I K J T TR I T = 11 4 . N and a = = 50 0 11 4 510 757 . . m s 2 vv a xx fi 22 2 =+ di : v f 2 7 57 6 00 9 53 . a f ms FIG. P10.45 (b) Use conservation of energy for the system of the object, the reel, and the Earth: KU if += + af : mgh mv I 1 2 1 2 ω 2 2 2500 600 953 2 2 2 2 2 0250 2 2 mgh mv I v R vm I R v mgh m I R F H G I K J F H G I K J = + = + = . . . . N m kg P10.46 Choose the zero gravitational potential energy at the level where the masses pass. KU KU E mv I mgh vR v R fg fig i ii ++ = + + + L N M O Q P F H G I K J =⇒
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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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