Question

Exercise 8.11 B 0.1 m The dise shown is rolling to the left with a velocity of 0.8 m/s. For the instant shown, determine the velocity of the collar B. V and the R0.04 m tingular velocity of member AB, 018 R 0.03 m Answer: V8 = 0.471 m/s 18 = 13.38 rad's

Answer 1

14 Olm. 0.06 m 64 36.26 CE Ay=90 0590 Given disc is rolling with ve velocity 0.8 m/s. ) rey = 0.8 m/s 0.04 as moving left. are We can find acef angular velocity for aise. as aise = 0.8. - 20 rad's anticlock wese towards W : 20 nad is orientations of res (ie oz); to (se 61) 8 Fes(sees) fixeda lenglish changes for kiz res Now eleseece loop equation can be given as :- ra tra trez treg = Res R = Reise Angle making with the majestade Prawie în cewdirection. in complex forsom &

Rere once - rc, este a reieser eje, tregeltof tegelast Rye oy a regenes. Differentiating We will get ega for velocity analysis. + 0.t res jeg egeng + rejéveseyesejos '+j rezuz eles tj rey Wye sou a rise 105 37 separating the imaginary co-efficients' + since imaginary, eso = caso Coreal je so = j caso-sino real imaginary, e) sind, & rg Uz Cose, trydy Ces dy = res sinas > (0.8) 85ħ°180° +(0.03)X 80 * xceso +01xWe x cos 66.86) arg singoo 0.6 + 62088 x Wy = rs x 1 , 0.6 +003 Wy - 8 re Separcating 05=90° the real co-efficients - ) ri Cas@, - ręW, cinghe - ray Wy sin64 = très cofas. ») Co.8) (-1) -(0.03)* 20 * simo Gin66.86) 20. -0.1 x ou 6) (0.06 Wy to. Wy = - 13.34 nadss. as comes ore hence anficlock- -wise

cones Peg = 0.6 + 0.08 (-13.34) -0.4672 m/s. (as ove hence down wared.) & slight differences come due to decimal points