A uniform rod of length b can be balanced as shown in figure. The lower end of the rod is resting against a vertical wall. The coefficient of friction between the rod and the wall and that between the rod and the support at A is mu. Distance of support from the wall is a. (a) Find the ratio (a)/(b) if the maximum value of theta is theta_(1). (b) Find the ratio (a)/(b) if the minimum value of theta is theta_(2).

A uniform rod of length b can be balanced as shown in figure. The lowe

1.	A uniform rod of length b can be balanced as shown in figure. The lower end of the rod is resting against a vertical wall. The coefficient of friction between the rod and the wall and that between the rod and the support at A is mu. Distance of support from the wall is a. (a) Find the ratio (a)/(b) if the maximum value of theta is theta_(1). (b) Find the ratio (a)/(b) if the minimum value of theta is theta_(2).
Answer» ANSWER :(a) `(a)/(B) = (1)/(2) SIN^(2) theta_(1) [(1 - mu^(2)) sin theta_(1) - 2 mu cos theta_(1)]` (b) `(a)/(b) = (1)/(2) sin^(2) theta_(2) [(1 - mu^(2)) sin theta_(2) + 2 mu cos theta_(2)]`