Chapter 2321P23.56This is the general version of the preceding problem. The known quantities are A, B, m, g, and θ. Theunknowns are qand T.The approach to this problem should be the same as for the last problem, but withoutnumbers to substitute for the variables. Likewise, we can use the free body diagram given in thesolution to problem 55.Again, Newton’s second law:FTqAx∑=−+=sin0(1)andqBmgy∑=++−=cos0(2)(a)Substituting TqA=sin, into Eq. (2),qAqBmgcossin+=.Isolating qon the left,qmgAB=+cotaf.(b)Substituting this value into Eq. (1),TmgA=+cossinθθaf.If we had solved this general problem first, we would only need to substitute theappropriate values in the equations for qand Tto find the numerical results needed forproblem 55. If you find this problem more difficult than problem 55, the little list at the firststep is useful. It shows what symbols to think of as known data, and what to consider
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