136_Physics ProblemsTechnical Physics

136_Physics ProblemsTechnical Physics - 138 P5.44 The Laws...

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138 The Laws of Motion P5.44 Let a represent the positive magnitude of the acceleration a ± j of m 1 , of the acceleration a ± i of m 2 , and of the acceleration + a ± j of m 3 . Call T 12 the tension in the left rope and T 23 the tension in the cord on the right. For m 1 , Fm a yy =+ = Tm gm a 12 1 1 For m 2 , a xx = ++= Tn T m a k 12 23 2 μ and a = nmg = 2 0 for m 3 , a = a 23 3 3 we have three simultaneous equations −+ = +− = = Ta TT a 12 12 23 23 39 2 4 00 0350980 100 19 6 2 00 .. . ... N k g k g k g bg afbg (a) Add them up: n T 12 T 23 m g 2 f = n k µ m g 1 T 12 m g 3 T 23 FIG. P5.44 + −− = 39 2 3 43 19 6 7 00 . . N k g af a am m m = 231 12 3 ., m s , down for , left for and up for 2 . (b) Now += T 12 39 2 4 00 2 31 k g m s 2 ch T 12 30 0
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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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