Question

Problem 1 Crank AB is rotating with an angular velocity of 4 rad/s as shown below. Currently, crank AB is vertical, and link BC is horizontal. Determine the angular velocity of link BC, and the velocity of piston C at this instant. Hint: C goes up. 0.6 m 45° B 0.3 m ФАВ 4 rad/s

Answer 1

0.6) @yo grey All amples Tag prad/s mene cuced in a direcfeon from tve 2- Axis 0.3m WAB 90° 1 103 03150 (7) 75) Tū is from A too and making angle or with the 3-axis in cow direction (@,=0") Both ra & O, are constant from A to C and making an angle an angle @z (= 450); Tog is changing og os comafane Fey is from B to C f making an angle Oy to) Thy is constant; by as changing ra is from a to B f making an angle 02690"); Face is corsfaat's big writting loop vection equations travelling through path AOCBA se + Fes-rey-Ra is changing a w Scanned with CamScanner

в) есі, Again writting in complex form + rебоз – су е jo- ге бо поез», -о. - ге тез . & Differentiating Wireito time above equation jol / с - Күе + , езо, becomes - + ajee 202 وهرم от гі, с 503 Euвче 7 с, е , jrcy Wy esou ti raw, Co-efficients :- oy reg sin B3 - «О, Соҳ ва + гео, Со В. у хоч я Све отгC, «О, x са с separating the imaginary * rt, in ts - 7 г. (%) о•6x Оч с org (0.6 x vзу 04. Separating the real co-efficients : -Он оч іmеч – CaOzciv бол хvа жю,) сы; 4с”. - 0.6x чx sino”. + (-0.3 ху 7 ft, Cess - ву singo) Р 0 - 0. Зху 0.6 09 wy — 0,3х9 0.6 -Атад/s. Scanned with CamScanner

... Angulare velocity of Link Be Wy = avad/s. icz 0.6% vaxWy 1.697 on/s; 1.2 *V2 1.212 Még = Velocity of pietony = 1,697 m/s; Scanned with CamScanner