3' Four point masses m1 = m, m2 = 2m, 7113 = 5m and m4 = m (here m is an arbitrary unit of mass) are located in the ac 1/ plane with (33,31) coordinates (0, d), (2d, d), (d, d), and (2d, 5d), respectively. Here d is an arbitrary unit of length. a) Find an expression for the center of mass F0 M in terms of d. Express this in terms of the distance from the origin and an angle with the x-axis. b) If the center of mass is a distance of 30 meters from the origin, what is d? 0) Suppose m1 starts at the position given above but travels in the +3; direction at a constant speed 110. Find an expression for the center of mass and the velocity of the center of mass as a function of time. What is the impulse on the system? You may leave your answers in terms of components. (1) Now suppose m1 starts at rest at the same initial position as before but this time m1 is subjected to a constant force F\" = Fj. Find an expression for the center of mass and the velocity of the center of mass as a function of time. What is the impulse on the system and the momentum of the system as a function of time? You may leave your answers in terms of components