Question

please answer all three parts and note the signs of the answers. Bx is NOT 0

Required information Problem 04.119-Storm window- DEPENDENT MULTI-PART PROBLEM-ASSIGN ALL PARTS NOTE: This is a multi-part questlon. Once an answor is submitted, you will be unable to return to this part A12-kg storm window measuring 900 1500 mm is held by hinges at A and B In the position shown, It Is held away from the side of the house by a 600-mm stick CD. Assume that the hinge at A has been removed and the hinge at Bcan exert a Couple about axes parallel to the x- and yaxes. 1500 mm 1500 mm 900 mm D Problem 04.119.b Reaction forces Determine the magnitude force exerted by the stick and the compontents of the reaction at B FCD INmJ |NJ IN-m 1- NI- B-

Answer 1

Jeight of the window = 12 kq Dimension of the condow = 900 x 1500 mm unét vectors along x y and a = & j andk weight Vector = - tax9.81 J 1.5 1.5 =-117. 4a Ì о во B 0.6 positions c = (0, -105,0.9) from Sene Seele, 20 = 1.5 0.6 8n Sene sen da B 0+ QQ = 180 =) = 180-20 1.5 sino -0.6 8 in p = 0 1.5 sin ap - 0.6 87 p = 0

X AC co? = AC + ADP-Q (AC)(AD) cose coso - Ac +AD - CD? QCAC)CAD) 105+1-52-0.62 cose &(1.5)(1:5) = 23.074 6181,5+0.62 1.527 Q = = cos' CAC cp? An. cos' QCACCAD) Rols Q(1,5) (0-6) a = 78. 468° B = 180° Location D = 0.6 sen a Jan = 0.588 m -[105-0.6C03&] C Da (0.538, Keca, 0.9) = (0.588, -1•38,0.9) height location F = (0.75 sine,-0.75cm, 0.45 ) F = (0.894,-0.69, 0:45)

force balance AC conét vector along CD 0.6B8 € +0.12 D- magnétude = 0.98 +0.0 force Fon 0.9 + 0.QFj Moment about B =O moment due to force Feo = docx For NBC = - 105 ] +0.9 OXF = 0 -105 0.98F 0-&F 0.9 o A k =-0.1872 +0.880Fi + 1.47F [twea] Moment due to weight SBF = 0.294 € -0.69 ] +0.45 i 80 i j k ! 0.294 -0.69 0.457 0 -117-72 0 - 50.839 i to j 8-34.61k

111 - 6 I xy Net moment at B, along a =0 • 730 SNE DV 940 DTC -) 1.47F = +34-61 +W 1 ue: F uj = +23.544 FCD = 23.073 ê +4071 Reaction forces at B Bz = -23.073 11707&- 4.71 = 113.01 B = -23.073 4 + 113.01 ☺ Moment at B = (-0.187+52.839] + 0882 F MB = 48 95 å +20.77 }}