- #1
tlonster
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Homework Statement
The total length of the composite body is 4.5 feet. Before the propellant is burned, the projectile weighs 23 lbf. After the propellant burns, the remaining projectile weighs 16 lbf. Before the propellant is burned, the mass center is located 2.6 feet from the projectile base along the axis of symmetry and the mass moment of inertia components are: Ixx=0.005 slug ft^2, Iyy = 2.1 slug ft^2, Izz=2.1 slug ft^2, Ixy = Ixz = Iyz = 0 slug ft^2. Compute the mass center location and mass moment of inertia matrix after the propellant has burned.
Homework Equations
I have already calculated the new center of mass as 3.41 (where CM is for the rocket body) How do I find the new moment of inertia matrix?
The Attempt at a Solution
Do I just take the difference between the two CM's, multiply that value with each component given in my moment of inertia matrix, and then add that result to the initial given matrix?
Your help is appreciated!