Lagrangian mechanics problem: There is a bar of mass Mand length L "attached" to a vertical axis, forming a sub zero theta angle with respect to said axis, as indicated in the figure: For the indicated coordinate system, determine: (a) The bulk density of mass for the coordinate system (x, y, z). Suggesting: calculate the density for a coordinate system (x', y', z') whose origin coincides with the system (x, y, z) and such that the bar matches x', later make the change of variables (x' y', z') --> (x, y, z). M = S S SP(F) dV A II universe Remember that

Lagrangian mechanics problem: There is a bar of mass Mand length L "attached" to a vertical axis, forming a sub zero theta angle with respect to said axis, as indicated in the figure: For the indicated coordinate system, determine: (a) The bulk density of mass for the coordinate system (x, y, z). Suggesting: calculate the density for a coordinate system (x', y', z') whose origin coincides with the system (x, y, z) and such that the bar matches x', later make the change of variables (x' y', z') --> (x, y, z). M = S S SP(F) dV A II universe Remember that