Question

05 (20pts): The rod AB can rotate about point A as shown in the figure. During the rotation the collar C slides outward along AB. At any time instant the distance between the center of rotation and instantaneous position of the collar is r and given as a function of timer 407 wherer is in seconds. Similarly the angle between the x axis and instantaneous location of the collar is described as 0 =0.81'. O is given in radians. Determine the velocity and acceleration vectors of the collar (both the magnitude and direction) when t1 Hint: Use radial and transverse coordinate system 4070 0.87 Collar C

Answer 1

We know that in porar coordinates v=g tro and acceleration a= (8-882) ŷ cro+288) ô r= o= not? 0.872 uten sl. = 80t =80 Öl = 1.66 = 16 rley = 40 olt=i = 16 il ca 80 8 lt=1=0.8 so, o= 80 + 40x66 ô = 808 +648 a = (80 - 40x11.632) â + 40x 16+2x80X 1.698 = - 22-4 @ + 320 ê Erl