4. Using the matrix method, (Moment of Inertia of solid ball with radius a: 2ma2/5) a) Find the 3 principle moments of i
Posted: Mon May 09, 2022 2:29 pm
4. Using the matrix method, (Moment of Inertia of solid ball with radius a: 2ma2/5) a) Find the 3 principle moments of inertia at the corner in problem 3. d) Find the set of principle axes at the corner.
3. A thin rectangular plate is of mass m and dimensions 2a by a. Choose a coordinate system Qxyz such that the plate lies in the xy plane with origin at a corner, the long dimension being along the x-axis. Find the following: (Moment of Inertia of solid ball with radius a: 2ma2/5) a) The moment of inertia tensor. b) The angular momentum about the origin if the plate is spinning around x-axis at . c) Find the kinetic energy in part b).
3. A thin rectangular plate is of mass m and dimensions 2a by a. Choose a coordinate system Qxyz such that the plate lies in the xy plane with origin at a corner, the long dimension being along the x-axis. Find the following: (Moment of Inertia of solid ball with radius a: 2ma2/5) a) The moment of inertia tensor. b) The angular momentum about the origin if the plate is spinning around x-axis at . c) Find the kinetic energy in part b).