564_Physics ProblemsTechnical Physics

564_Physics ProblemsTechnical Physics - 566*P19.59...

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566 Temperature *P19.59 The effective coefficient is defined by L L T total effective total = α where L L L total Cu Pb = + and L L L xL x L total Cu Pb total total = + = + 1 a f . Then by substitution α α α α α α α α α α Cu Cu Pb Pb eff Cu Pb Cu Pb eff Cu Pb eff Pb 1 C 1 C 1 C 1 C L T L T L L T x x x x + = + + = = = × ° − × ° × ° − × ° = = b g a f b g 1 20 10 29 10 17 10 29 10 9 12 0 750 6 6 6 6 . *P19.60 (a) No torque acts on the disk so its angular momentum is constant. Its moment of inertia decreases as it contracts so its angular speed must increase . (b) I I MR MR M R R T MR T i i f f i i f f i i f i f ω ω ω ω α ω α ω = = = = + = 1 2 1 2 1 2 1 2 1 2 2 2 2 2 ω ω α f i T = = × ° ° = = 1 25 0 1 17 10 830 25 0 0 972 25 7 2 6 2 . . . . rad s 1 C C rad s rad s e j e j P19.61 After expansion, the length of one of the spans is L L T f i = + = + × ° ° = 1 125 1 12 10 20 0 125 03 6 1 α a f a f m C C m . . . L f , y , and the original 125 m length of this span form a right triangle with y as the altitude. Using the Pythagorean theorem gives: 125 03 125 2 2 2 . m m a f a f = + y yielding y = 2 74
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