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# t1_2007_su_retest_answers - MIME 2300 Retest 1 Name_Key...

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MIME 2300 Retest 1 Name ______Key_______________ Section ______ June 20, 2007 In all the problems show all equations used with variables and then with values substituted so partial credit can be given wherever possible. Give units on all answer. On problems where appropriate, draw coordinate systems, datums, FBDs, K.Ds or velocity diagrams. 1. Find the acceleration of the 20 lbf block shown in the figure if the coefficient of kinetic friction is 0.3 and the coefficient of static friction is 0.4. (14 points) Solution: FBD KD ( 29 x x ma 40 cos 10 f F = ° - = Σ Assume no sliding so a x = 0 ( 29 ° = 40 cos 10 f 66 . 7 f = ( 29 0 40 sin 10 20 N F y = ° - - = Σ 4 . 26 N = N f s max _ s μ = ( 29 6 . 10 4 . 26 4 . 0 f max _ s = = max _ s f f < Assumption correct, 0 a x = Page 1 of 4 1 __________/14 2 __________/29 3 __________/25 4 __________/32 Total ______/100 N f F=10 lbf ma x 40º F=10 lbf y x 20 lbf 1 2 2 1 1 2 2 1 2

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2. If the end of the rope F is being pulled with a speed of 10 m/s at the point when x is 2 m, what is the velocity of the weight B. (29 points) Solution: Coordinate systems and datum ( 29 ( 29 2 C D C D 3 1 D 2 2 F L s s s s y L s 7 s = + - + - = + + ( 29 ( 29 ( 29 0 s 2 s 2 0 s s s s 0 0 s s s 2 7 s 2
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t1_2007_su_retest_answers - MIME 2300 Retest 1 Name_Key...

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