Question

Bar OA has a counterclockwise angular velocity ω₀ = 3.4 rad/s. Rod BC slides freely through the pivoted collar attached to OA. Determine the angular velocity ω_BC of rod BC (positive if counterclockwise, negative if clockwise) and the velocity V_rel of collar A relative to rod BC (positive if moving from B to C, negative if it moves from C towards B). 

Answer 1

solution: O A = 260 mm By sine Rule: OA 960mm Вс sinya hla sin 62 WBC 620 0 19420 Вс 197 mm (BC 20.197 m B → velocity analysis by Graphic al Method: a 4 62-48 = 14° 90-44=480 0,6 229 90-622 iger C (or) 0 769 016 CS Scanned with CamScanner

→ Velocity of poind A : VA = oa Wox (DA) = 02 3.4 x 10.260 m) [o2 = 0.884) → By triangle o ac (or) bac los 76° = bc oa ba Cos 760 bc 0.884 b c = 0.213859 m/see then, bc= WBC X BC 0.213859 - Wlpc (0:491) ? Welc * 10:197) 0.213859 [WBC - 1,086 rad/ see Cew ] → By triangle oac (or) baci sint 6 = ac oa al sin 76 = 0.884 al = 0.857 m/see CS Scanned with CamScanner

where, WBC a ac angular velocity of link BC Velocity of collar A with respect to link BC / (01) relative to link BC (Vree) then, WBC 1.086 rad) see 0.857 m/sec Any CSscanned with CamScanner