Question

hi! can you help me out with this question please! thank you!

5. The following diagram represents two balls on the ends of thin rods that are rigidly connected to a rotating shaft. The ends are 90 degrees apart, and have lengths of 1.4m for A and 1.7m for B. The ate of 4 revolutions per second, and the balls are rotating in the vertical plane. Parallel light is shone on the system in such a way that the balls cast shadows on a screen. Write the equation of motion for each of the shadows. O HOO DIE o nome Altdoor Bup ов Screen

Answer 1

wt :kor given, angular speed w=4 hevolution - persecond 1. =) Wz 4x27 nadls for Shadow of A, it, in time at it meines an angle o, then Oz wt then an would be the protection of a on the screen which would be the position of Shadow of a. then, at any time to ya asinda asinut so, YA = a sinut . YA = (1.4m) sin(87t) A velocity of shadow of a VAR = (1.4> Paradise Cos (pat) =) VA= (11.22 mis) las (87+)

and acceleration aA=-(11.22x82 mes2) sin 87t =) a A= -89.6x² m/s2) sin gat for shadow of B, YB = (1.7m) sin (wt - A) =) Y = -(1.7m) sim ( 9 -wt) =) YB = -(1.7m) cas wt so, velocita - (1.7m) (as gat B VB=dYB = (1.708amis) sin 8nt =) UB= (13.64 mis) singat & acceleration 1. AB= (13.60x82m15) (as 87t AB= (108.82² m/s2) cas 87t

motion for so, eanation of A: shadow . of YA = (1.4m) singat VA=. (11.27m/s) Los 874 aa= -(89.67² m/s) singat & ecuation of motion for Shadow of Bi Yaz-(1.7m) Cassat VB = (13.67 mis) singat aig = (108.87 m/53) Cassat