The bar has a non-uniform density 1(x) = lo x where x is the distance from the left end of the bar. The bar has a length L and can pivot freely (without friction) in a vertical plane, about a horizontal axle that passes through the rbar at a distance L/3 from one end. The bar is initially held in a horizontal configuration (as shown) and released from rest. Using brute force Newtonian Mechanics determine the angular velocity of the bar as a function of 6 (the angle between the bar and the negative y- axis)? %3! L/3