A uniform rod of mass m and length / makes a constant angle theta with an axis of rotation which passes through one end of the rod. Its moment of inertia about this axis is

A uniform rod of mass m and length / makes a constant angle theta with

1.	A uniform rod of mass m and length / makes a constant angle theta with an axis of rotation which passes through one end of the rod. Its moment of inertia about this axis is
Answer» `(ML^(2))/(3)` `(ml^(2))/(3) sin theta` `(ml^(2))/(3) sin^(2) theta` `(ml^2)/(3) cos^(2) theta` Solution :Mass of an arbitrary element dx = `((m)/(l))` dx Moment of INERTIA of the element about the AXIS = `((m)/(l) ""dx) (x sin theta)^(2)` `I = (m)/(l) sin^(2) theta int_(0)^(1) x^(2) dx = (ml^(2))/(3) sin^(2) theta`