A quarter circle of radius 1 foot is cut from sheet metal w/ density of 1lb/ft^2. (This object thus weighs pie/4 lbs). The quarter circle is then attached to a 2ft rod so that the center of the circle is at the middle of the rod and 1/2 of the rod runs along one cut edge of the 1/4 circle. A weight W is attached at the other end of the rod. The whole thing is suspended by a string attached to the middle of the rod and it balances with the horizontal. how heavy is the weight W?