Statics EX209 - I 2 Section 1576-01“ ‘1578’or...

Unformatted text preview: I 2 Section: 1576-01“ ‘1578’or 6583 (circle one)” ' EGM 2511 Exam2 Spring 2009 NANIE (Last, First) SHOW YOUR WORK — BOX OR UNDERLINE ANSWERS — FBDs REQUIRED FOR EQUILIBRIUM PROBLEMS Problem 1. (33 pts) For the shaded area shown below, a) Use integration to find the x and y coordinates of the centroid of the area. b) Now, consider the solid shape generated by rotating the shaded area 360 degrees about the x axis. Use the Pappus-Guldz‘nus theorem approach to calculate the volume of 111118 solid shape. 0) Would the x coordinat of the centroid of 11118 volume be the same as that for the area in a)? (circle YES 0‘ ' i9) Vaiwme :: WA 214% pilgtance 1Lrgyefeh} [éj Cami-raw) V9) «We: /(‘27T‘ /)—,—_ (/11. M 503 ”13 5 fi" 5») N0 , farther 4w Hue right: EGM 2511 Exam 2 Spring 2009 NAME (Last, First) Section: 1576 or 1578 or 6583 (circle'one) V- .. . V ‘. - O SHOW YOUR WORK — BOX ORUNDERLINE ANSWERS—FBDsREQUIRj EDFO ,. - . ’ ' ‘ Problem 2. (33 pts) The double—toggle mechanism. .shownis used in. a punching machine. Neglecting the ‘ weights of the links and the block, determine the couple M required to hold the system in equilibrium. f; $130~V6Fw529g=0 N CE: 161.552 )5. 160i): ‘ a gal: 03 0:75 5570 ~191:£52&W#D r; o A! '. i ' 30"» 2MA?’M + lma552c9539%)=o M=qqa35 x 315$” W ‘ EGM'ZSII Exam2 Spring 2009 NAME (Last, First) 4 ' Section: 1576 or 1578 or 6583 (circle one) . _v v _ > . 2‘ ‘ ; 1 -‘ (,0. O SHOWYOURWORK — BOX ORUNDERLINEANSWERS—FBDs nEQ n- in J o ' = ' Problem 3. (33 pts), The beam below is cantilevered from its right end and is: loaded as shown below. a) Using the geometric theorems approach (not tbds of length x), plot accurate shear force and bending moment diagrams on the. axes provided. Label with values all the key points. b) Now, using. a single. free’body diagram of length x (not your results from part a)), find equations for V(X) and M(X) that are valid in the range 3.6 < X < 5.4 ft. 1.5 kips/ft ...
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