Question

dynamics

Problem 3. B At the given instant member AB has the angular motions shown. 2 rad/s 7 in Find: a) the velocity of point at this instant b) the magnitude of the acceleration at point B at this instant 3 rad/s 60° 5 in

Answer 1

1 +5 SPno Try Bc % Bc = 12 Sprito BC= 13.86 in. sin c WAGE AB= 7 WAB RAB TAB BC = 13.86 (-i costo -I sinto) BB = VAT VBIA +WAB XAR 3k X TJ BBC = WBC (direction assumed cew) VB 11 - 21 e JBT Velo Vc = -alê + WB ck x 13.86 C-1 costo aj sinto) -alêt 13.86 Cobic Costo (-)) Je + 13.86 WBC Sinto (te) vechea [Assumed directions as (-x) Equate Equate j Co-efficients 13.86 w Bc Costo o WBC

6 NG Equate & -coessicients -21 + 13.86 we simbo va - 21 Porced, Je=-22 l (6) LA + OB AB/A BA of a "B/A ta ар WABX X WAB XAB) & LAB XAB as = 32 x(3² x 79) + 2 R XT5 = 3² x 211-ê, + 1A 63(-) +14c-ė) 146-3 He 63 AB + abe 21-630-j) magnitude, ase JEIAR +6377 TAB 64.53 Pn 152 From this problem we can observe that in Coook mechanism when the crank is perpendicular to the line of the Stroke the angular velocity of Connecting rod will be 2000