A slender rod of length L is lodged between peg C and the vertical wall, and supports a load P at end A. Knowing that the coefficient of static friction between the peg and the rod is 0.15 and...

A slender rod of length L is lodged between peg C and the vertical wall, and supports a load P at end A. Knowing that the coefficient of static friction between the peg and the rod is 0.15 and neglecting friction at the roller, determine the range of values of the ratio L/a for which equilibrium is maintained.