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P4.2: The four-bar mechanism in Figure P4.2 has the link lengths: LAB = 4, LED = 24, Loc = 14, LA = 30. The location of C
B C act FIGURE P4.2 Four-bar planar mechanism. a. x and y coordinates for the joints A, B, C, D and com G, G, G b. Absolute a
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The following figure shows the mechanism scaled. Q3 ² 20° 04 600 B 03 QadcThe following figure shows the mechanism scaled. Q3 ² 20° 04 600 B 03 Qadca: let be at (0:0) and we get Bat (0,4) Cat (30,0) and for D, a Component is 24 Cosas 24 Cos (20) 2 22:55 and y component isand location of G3 is (2460503 + L083 65 04 , (14-2043) Sin 04 - (246520 +6.722 60560 (14-6-722) Sin60) (25.913, 6-302) 2bi To find angular velocities of link 2 and 3, we need to draw the velocity diagram we have, Vb 4 x 27 87 ins ABWI Velocityd Na Vab Vb Ca 5from the diagram, Vab 2 14.25 in/s and we Vab 14.252 0:593 rads DB 24 also vd 24.25 in/s and W3 z vd 24.25 1-732 rad/s 14 learz 2 arz 2 radial accelerations, 2 BD W22 2 24 x 0.5932 28.43 in/s² DC W3² 14x1.7322 42-14 in/s² and arall to BD, ar3 ll toac arz A3 atz d al αν atzn १ 1982And now absolute angular acceleralions of links is given by ar 92-91-25 in/s from diagram ар Во 91-252 224 3.802 rad/s² and adi 2 0 , aly Now to find a and y components of linear accelerations, from diagram air 157.9 in/s² Now drawing to of ab at a mac larz ED atz • al ☆ e ar atz 9 eebei N x and y linear 1 No to find x Components of acceleration of Gi, G2, G3, we need to locate 91 92 and 93 in the acceleratiа) с ags I arz 93 at3 Az ag, d aga gi Az H2 a, 1 9 aga 2 atz b arzNow drawing trs at gz and 93 to ab meeting at f and g respectively as shown in the above diagram Now, agix zo agiu ag, 283.68

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