CoursHeroTranscribedText: A3/4 (10 marks) The homogeneous circular disk shown in Figure A3.4 has mass moment of inertia about its centre of mass of /c = 3 kgm2. It rotates about a fixed shaft at its centre and is attached to a torsional spring with constant k = 20 Nm/rad. At t = 0, the angle is 8 = 0, the angular velocity is d #/dt = 4 rad/s, and the disk is subjected to an oscillatory couple M(t) = 10 sin 2t Nm. M(D) Figure A3.4 Determine & as a function of time