A uniform horizontal shelf of width L and mass m is held to a wall by a frictionless hinge and by a string at an angle of q, measured from the shelf. The string is connected to the shelf at a distance of x from the wall. (a) What is the tension in the string and what are the horizontal and vertical components of the hinge’s force. (8 points) (b) Suppose the string is cut. What is the angular acceleration of the shelf just after the string is cut? (7 points)