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Quiz2A - ME 205 STATICS FALL 2010 SECTION 4 QUIZ 2 SURNAME...

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Unformatted text preview: ME 205 STATICS FALL 2010 SECTION 4 QUIZ 2 SURNAME, Name: 80 Lu TION Student ID: The dashed shape in the ﬁgure is a square prism with one side of the square 2a and height a. Knowing that the lines of action of forces intersect the square sides of the prism at mideints, determine: - - The magnitude and direction of the couple moment M created by the forces shown. - The magnitude and direction of the resultant couple moment MR by including M1 and M2. Note that M1 is rotating clockwise and M2 is counterclockwise. - The magnitude and direction of the couple moment Mca of the resultant couple moment MR about CA axis. Mg a=1m t a ' _ _ F=40N- “‘~.___H _ M1=50Nm “ u M2=_30Nm ______‘_J M i \ \. " \ N \ \ x \ \l \ N. ‘ J r \ 1 \ l‘ L4 ”“ The ample, moment: can be calculated as, ﬁ=PDxE+Téx£—i3) pi: (PD—1%)“? an? Wri+c face i? ml position .9 r, vechsrs in vector ﬂotation. Wefvre, ?=(2at+aj)-(ai) F): a'E-ivaj ?=\$+3 [m] ‘ﬁ A F: F ”DE where a ‘9 LL ____ DE DE mod £195: -a’t +aﬂl+aE \JW ‘“ _ I A l ,. l b u ”—— DE W L+ \@J + ‘11,? L WrarforaJ .3 F=_ﬁ2“ AOA £2” 3 H WJJF 3 L [N] ELEV? _ A» -52“ ADA 40" M- (H 3 x( 3 HT??- +Tk) A MzLZLQ. A -iQ." ﬁﬁ O A 3 k J?J+3 k4ﬁ?L M=%i-%§+%E M “W, reSuHch COUPL6 momenJc Can be, mlwlodreci CLSJ -3 ——> M =R+Ml+ﬁl where, ——3 RE: _ 503 (Cw) Mg= 30 3?. Cccw) in Cum] Therefore, MR=% ’4: ~ (50+ %)3 + (30+—§%) i;— CMmJ To Cﬂlwlm‘l'a VGA of ﬁg about CA axis; —a MCA= aCA- MR where, cmgii = M = __t_ g. 4—3 {FEA‘ JAaz—pijal L2- J‘l “mg—ﬁvﬁa} [%t—(50+Tw4:>3 + (so+:.% m m=—jg? +~é\$+ﬁr§ = ——32+ FE: £me (PCs-W, mm 71mg, posihVe, vafua, holler/ales 'Hqcck H‘s in m SW dingo-hon of “EA f WE f2 (IT/LA in vac+or no+ocﬁm , KA=MCA um ﬁw*<?zg+f%7(ét {‘33) @=e%2+\$>t-(5;+%>3 RCA=4§.oq’t—Agoqj [Mm] ...
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