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Finding the smallest allowable value of an angle considering static friction

Here is the asking problem:

A cord is attached to and partially wound around a cylinder of weight W and radius r which rests on an incline as shown. Knowing that the coefficient of static friction between the cylinder and the incline is 0.30, find the smallest allowable value of angle if the cylinder is to remain in equilibrium.


Solution Preview

Writing angle b, from horizontal to the plane, and the cord tangential to the cylinder and parallel to the plane, proceed as follows:

Step 1. From 'net force = 0' perpendicular to the plane we write:
(1) N = W cos b from which, ...

Solution Summary

A step by step solution for solving the smallest allowable value of the angle.