A Text book of Mathematics And Mechanics Specially Arranged for the Use of Stude
A Text book of Mathematics And Mechanics Specially Arranged for the Use of Stude
Charles Alfred Adolph Capito
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And (4) Let AC«/, then, . , 0, ,1 orWsinaCOS^a. O »i = *a sina <"* = / - «« cosa = t - - ~-z . .. . „ — c-, t= / ""2/ M^+~W8in2a ~ V ^^sina M^ + W Inserting the given values in (4) we get < = 0-33 {Ans. ). (88) (I. C. E. , Oct. 1898). — A body of 50 lbs. Is on an inclined plane of inclination 35°. The coefficient of friction is 0-16. A force . /• acts up the plane, making an angle of 10° with the plane (45° with the horizontal). Working either graphically or arithmetically, find x. First, when it just allows the body to slip down the plane ; second, when it pulls the body up the plane (fig. 89). Fig. 89. Graphical Solution. C D =«= the weight, W, of the body ; C N is the normal, and C Ej Eg C is the cone of friction. Let the value of X in first case be x^^ and in the second case be x^. The resultant of a;j = CKj and W must fall along CE^ and the resultant of ^2 = C Kj and W must fall along C Eg. The values are a:i = 23-l Ibws. And . ^2 = 34*8 Ibws. EXAMPLES. 235 Analytical Solution.
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