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ECS 221 Exam IV

# ECS 221 Exam IV - ENGINEERING MECHANICS-STATICS EC5221 FALL...

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Unformatted text preview: ENGINEERING MECHANICS-STATICS EC5221 FALL 2011 EXAM 4 December 2, 2011 Name please print Signature SU Identification No. Recitation Instructor Recitation Day Problem #1 Problem #2 Problem #3 Problem #4 TOTAL PROBLEM ONE Determine the reactions at pins A, B? C for the frame shown. The system is frictionless. :, 1 , ‘ . . / /\ vi. ii 4’ L KN“ V, x ' in. II}. A k ‘ A“ k.) m /\ ‘9 1 / ("Eu T x- L») f *1"; l 1N c; if.) L» M“ ‘9‘ 2 K 3V L f /\ } \ . PROBLEM TWO What force P is required to cause the cylinder of weight Wto be in a state of impending slip? Assume that the coefﬁcient of static friction p is the same at A and B and is known. Hint: the cylinder cannot roll up the Will. Extra Credit (5 points; no partial credit). Use a free body diagram to Show that the eyiinder can never m]! up the 141011. Vat-ﬁr? ” “7‘ \li > \_; g r “a /' i \ /\ Q , I . i {I'd/IX / \ E f Li C.“ ix) 1 l N. 3.: ‘l I H\ ['1 \AI' if \ ___________ _‘_; V Ell-“t A A152. "x X .. .iwn/ 123%...”TMWEM 1 / /\ junk i //\ i'v I k i V, . 'C) in?) wt (fir/1 I i ! fgl sewn/m.“ ['3 / R J m:- g I "I ‘ r .2 7 Z 1”) f i """""" ‘ A L /f \ fail ii [If/I ! l l l I ) 1 m \ V ':_ l is 3 ‘ , \ ,_,_ s.) ._ r j to i # ‘L-‘xﬂj Ill/an "i } (“M i i ; /‘ \‘9 m ..... : \ l W / t r \ ﬂ 0 “ ’ \’- f / 6’) r}; 3 L 1 A, r- ift.“ p 5;"; M" ’ i \\ c ,,/ W » " w I K [EFF 5)"? f z I PROBLEM Dryer TH RE E a. Assume the cylindei~ C is locked. Find the minimum weight W8 for equilibrium. Neglect‘ﬁ'iclian between blockA and the slope. Take WﬁlOOle, 1/33 and 6&300 in your calculations. (Recall: 7‘2 : ﬂew ). b. Assume now that the cylinder C rotates slowly clockwise Find the minimum weight W1; to keep the block moving up the incline. Negleclﬁ‘icﬁon between block/l and the slope. Take WﬁlOOlhs, ,uv: 1/3, and 61:300 in your calculations. (Recall: '1; : lie/‘5). Mi”: 7 l J 1 l4) A C i 5/ :9' inc) {:3 L”) ii,“ I, f, C; Iii-1: «=6? 0 'r’ (9 Ii .3 61 T 1w (.1. PROBLEM FOUR For the plane area shown determine by integration the moment of inertia with respect to the x—axis, i.e., [x : Jysz . All lengths are in feet. .Ly El ...
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ECS 221 Exam IV - ENGINEERING MECHANICS-STATICS EC5221 FALL...

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