A 5 kg mass is located 2.0 meters from the origin 20 degrees from the positive x axis. Another mass of 2 is located 2.1 meters from the origin 30 degrees from the negative y axis. Calculate the distance that a 1 kg mass must be placed from the origin in order for the COM of the system of three masses is located at the origin. (*You should also be able to find the angle as measured from the +x axis if you were asked)

A 5 kg mass is located 2.0 meters from the origin 20 degrees from the positive x axis. Another mass of 2 is located 2.1 meters from the origin 30 degrees from the negative y axis. Calculate the distance that a 1 kg mass must be placed from the origin in order for the COM of the system of three masses is located at the origin. (*You should also be able to find the angle as measured from the +x axis if you were asked)