Write the standard form of the equation of the ellipsoid centered at point P(1,1,0) that passes through points A(6,1,0), B(4,2,0) and C(1,2,1) | Numerade

Write the standard form of the equation of the ellipsoid centered at the origin that passes through points A(2,0,0), B(0,0,1), and C((1)/(2), √(11), (1)/(2)) | Numerade

SOLVED: 5. Particle in an ellipsoidA particle with mass m moves freely in an ellipsoid with equation:(x^2/a^2) (y^2/b^2) (z^2/c^2) = 1It is desired to determine the contact force that keeps the particle on the surface. Note that there are 2 degrees of freedom and if we use the Cartesian coordinates (x, y) as generalized coordinates, taking into account the constraint.a. Write the equation that expresses the Hamiltonian principle corresponding to this holonomic constraint. Deduce the Euler-La