Consider a thin plate which has a constant mass density per unit area, a total m
ID: 1941087 • Letter: C
Question
Consider a thin plate which has a constant mass density per unit area, a total mass m. and which is shaped as an ellipse located in 2 = 0 plane: x2 / a2 + y2 / b2 le 1, z = 0. Compute the following quantities: the mass per unit area p.; the moment of inertia Ix with respect to the x axis (i.e., the axis y = z = 0); the moment of inertia Iy wrt the y axis (i.e.. the axis x = z = 0); the moment of inertia Iz wrt to the z axis (i.e.. the axis x = y = 0); the moment of inertia wrt the shifted x axis (i.e.. the axis z = 0, y = d). Verify the parallel axis theorem (Huygens-Steiner): = Iz + md2.Explanation / Answer
http://www.eformulae.com/engineering/moment_of_inertia.php http://scienceworld.wolfram.com/physics/MomentofInertiaEllipse.html