Group 1 Chapter 1 final problems

Group 1 Chapter 1 final problems - Jess Jones Group 1...

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Jess Jones Group 1 Fundamentals of Mechanical Design Test Problem Problem Statement : The cost to manufacture a product using method A is estimated by C A =13+0.75*P. The cost using method B is estimated by C B =45+0.75*P-0.004*P 2 . The cost C is in dollars and P is the number of parts manufactured. At what point do both of these methods produce the same number of products for the same cost. Solution : C A =C B 13+0.75*P=45+0.75*P-0.004*P 2 -13 -13 0.75*P=32+0.75*P-0.004*P 2 -0.75*P -0.75*P 0=32-0.004*P 2 +0.004*P 2 0.004*P 2 =32 /0.004 P 2 =8000 8000 1/2
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P= 89.44 Therefore, both methods cost the same when producing 89 products. Ethan Grace Q: Force on a circular rod with a radius of 2in is given by the equation F=10+2.5x. H=.2in and the theta value is 60 degrees. The initial x value is 0 and the final x value is .2, and f is a value of .25 calculate N i , N f , T i , T f ? Given, F=10+2.5x lbf, R=2in, H=0.2in, θ=60°, f=.25, X i =0, X f =.2 Find Initial x=0 F=10+ (2.5*0) =10lbf Final F=10+ (2.5*10) = 10.5lbf Solution: N= F fcos ( θ ) + sin ( θ ) N i= 10 .25cos ( 60 ) + sin ( 60 ) = 13.49Lbf N f = 10.5 10 * 13.49=14.7Lbf K= 1 + ftan ( θ ) tan ( θ ) f = 1 + .25 tan ( 60 ) tan ( 60 ) .25 =.967 T
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