You are working for an aerospace contractor building lightweight pressure vessels from beryllium metal ( rho = 2.0 g/cm3, Klc = 4 MPa m, sigma y = 155 MPa) for rocket applications. A x-ray system used to search for cracks in pressure vessels can detect cracks as small as 0.1 mm in length. You are asked if the system is good enough to detect all cracks that might result in rupture of the pressure vessel before plastic deformation can occur. Provide a response with a calculation to back up your answer. Assume Y = 1.