Homework 2 - due Tuesday Jan 19.
A parallelepiped of density 3.00x103 kg/m3 is floating in outer space, far away from any stars or planets. At time = 0, of this parallelepiped is viewed in a Cartesian co-ordinate system that has its origin at one of the corners of the parallelapiped and the axes parallel the sides. (similar to the orientation of the cube shown on page 5 of the class notes). The length of the side along the x-axis is 0.120 meters. The length along the side parallel to the y-axis is 0.200 meters. The length along the side parallel to the z-axis is 0.090 meters.
At time = 0, the angular velocity of the cube is w = (.010, .015, -.023) radians/sec.
a) Find the numerical values for the elements of the inertia tensor for this parallelepiped at time t = 0.
b) Determine the kinetic energy of this parallelepiped at time t = 0.
c) Determine the angular momentum of this parallelepiped at time t = 0.
d) Will the angular velocity of this parallelepiped remain constant? Why?