Only parts A,B, and F

Rod that Rotates about its End Initial Final A long thin uniform rod of length L and mass M pivots (without friction) around one of its ends. It is released M L from rest from the horizontal position. What is its angular speed, w, when it makes an angle 0 with respect to the horizontal? A. Complete the energy bar graph shown at right System Initial Energy Work = Final Energy to illustrate conservation of energy for the Kro + KRo +Ugo + Einto + W = Kir + Kar +Ugr + Bimr system. Be sure to indicate your system. Indicate the location of zero gravitational potential energy in your diagram. B. Write an expression for the moment of inertia of the thin rod. C. Use conservation of energy to write an equation describing this situation Be certain to write your equation in terms of the variables that are labeled in the diagram above. D. Solve the equation you wrote in part C to obtain an expression for the angular velocity, @, of the thin rod. E. Differentiate the expression you obtained for the angular velocity, @, to obtain an expression for the angular acceleration, a, of the thin rod. F. Use the rotational equivalent of Newton's Second Law to obtain the same expression for the angular acceleration that you obtained in part E