ASK YOU PRACTICE ANOTHER Two particles of masses m, and my move uniformly in different circles of radii R, and R2 about the origin in the xy-plane. The coordinates of the two particles in meters are given as follows (z = 0 for both). Here t is in seconds *1 (t) = 6 cos(4t) YI(t) = 6 sin(4t) * 2 (t ) = 2 cos ( 5t - *) / 2 (t ) = 2 sin ( 5t - = ) (a) Find the radii (in m) of the circles of motion of both particles. R 1 = 6 R 2 = 2v m (b) Find the x- and y-coordinates of the center of mass. (Enter your answers as functions of time. Use the following as necessary: m, m,, and t. Do not use other variables, substitute numeric values. Assume Xcy and You are in meters and t is in seconds. Do not include units in your answer.) XCy = y CM (c) Does the center of mass move in a circle? Decide by plotting its trajectory. Yes NO Additional Materials Reading MacBook Pro delete 3 4. P Q E Y O W R K S D F G H M X C B N Z 96