Solved: One end of a uniform meter stick is placed against

Chapter 11, Problem 11.70

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One end of a uniform meter stick is placed against a vertical wall (Fig. P11.70). The other end is held by a light weight cord that makes an angle \(\theta\) with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.40.

(a) What is the maximum value the angle \(\theta\) can have if the stick is to remain in equilibrium?

(b) Let the angle \(\theta\) be \(15^{\circ}\). A block of the same weight as the meter stick is suspended from the stick, as shown, at a distance x from the wall. What is the minimum value of x for which the stick will remain in equilibrium?

(c) When \(\theta=15^{\circ}\), how large must the coefficient of static friction be so that the block can be attached 10 cm from the left end of the stick with out causing it to slip?