The spacecraft rotates in the plane of the paper Max angular velocity is 1 rpm Max angular acceleration is 5 rpm^2 Assume the beam is a cylinder with a diameter of 10mm. 10.0 m Y Spacecraft X m* boom = 2 kg/m Z minstrument 25 kg Extra Credit: Suggest a lightweight material for protoflight levels based on yield. State the density of said material. (+5%) What failure theory would you use for this material, and show where you are on the failure zone graph with axis A and B. What is your margin of safety on the material?