A bridge, constructed of 11 beams of equal length L and negligible mass, supports an object of mass M as shown. Real bridges of this sort have steel rockers at the ends (check one out sometime), these assure that the support forces on the bridge are vertical even when it expands or contracts thermally.

Throughout this problem, use g for the magnitude of the acceleration due to gravity.

Find F_P the vertical force that pier P exerts on the left end of the bridge. Express the vertical force at P in terms of M and g.

\f