1) The inertia matrix of a rigid body in terms of a body-fixed coordinates system with its origin at the centre of mass is 4 1 [0] = l-1 0 1 -1 2 0 6 kg.m If the rigid body's angular velocity is w = (10i -5j + 10k) rad/s & its angular acceleration is zero, what are the components of the total moment about its centre of mass? 2) If the total moment about the centre of mass of the regid body in problem is zero, what are the components of its angular acceleration? [0]= 3) A rigid body rotates about a fixed point O. Its inertia matrix in term of a body-fixed coordinate system with its origin at O is 1 -1 0 -1 5 1 0 1 7 kg.m If the rigid body's angular velocity is w =(6i+6j-4k)rad/sec and its angular acceleration is zero, what are the component of the total moment about O? 4) If the total moment about O due to the forces and couples acting on the rigid body in problem is zero, what are the components of its angular acceleration? 5) At t=0, the stationary rectangular plate of mass m is subjected to the force F perpendicular to the plate. No other external forces or couples act on the plate. What is the magnitude of the acceleration of point A at t=0? A h