Im trying to calculate the principals moments of inertia (Ixx Iyy Izz) for the inertia tensor by triple integration using cylindrical coordinates in MATLAB.
% Symbolic variables
syms r z theta R h M; % R (Radius) h(height) M(Mass)
unox = int((z^2+(r*sin(theta))^2)*r,z,r,h); % First...
Not sure if this is advanced, so move it wherever.
A certain rigid body may be represented by three point masses:
m_1 = 1 at (1,-1,-2)
m_2 = 2 at (-1,1,0)
m_3 = 1 at (1,1,-2)
a) find the moment of inertia tensor
b) diagonalize the matrix obtaining the eigenvalues and the...