*MATLAB*

Three important equations from rigid body mechnics for an interially fixed system are:

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1. Three important equations from rigid body mechanics for an inertially fixed system are: 1 , T and cos(0) = M. where H is the angular momentum vector, I is the moment of inertia tensor (a 3D representation of moments of inertia which, for our purposes, can be treated like a matrix), Trot is the rotational kinetic energy is the angular velocity vector, and is the angle between the angular momentum vector and the angular velocity vector. As seen here, is the dot product operator 50000 Consider an inertially fixed system where I0 5000 0kg-m2 and 0.2 0.4 2.3] rad/s. 0 9000 Disregarding what the specific coordinate system in this problem represents, calculate the angular momentum vector , the rotational kinetic energy Trot, and the angle between the angular momentum vector H and the angular velocity vector 4. Print each of these with a label and a unit. By virtue of how the dynamics work out, you will not need to consider a quadrant correction (e.g. using the atan2 command or other mathematically-equivalent approaches) in this problem. Remember from mathematics that radians are fairly flexible units that disappear when not otherwise needed to demonstrate an angular unit set. Note: A useful command to calculate the magnitude of a vector (known in mathematics as the Euclidean norm) is the norm command. If x is defined as a vector, norm(x) will return the Euclidean norm. You may review the help or doc pages for more information about this command