The teeter toy consists of two identical weights hanging from a peg on dropping arms as shown. The arrangement is surprisingly stable. Let us consider only oscillatory motion in the vertical plane. Consider the peg and rods (connecting the weights to the peg) to be very light. The length of each rod is l and length of the peg is L. In the position shown the peg is vertical and the two weights are in a position lower than the support point of the peg. Angle `alpha` that the rods make with the peg remains fixed. (a) Assuming the zero of gravitational potential energy at the support point of the peg evaluate the potential energy (U) when the peg is tilted to an angle `theta` to the vertical. The tip of the peg does not move. (b) Knowing that U shall be minimum in stable equilibrium position prove that `theta = 0` is the stable equilibrium position for the toy if the two weights are in a position lower than the support point of the peg