A sphere of radius R is supported by a rope attached to the wall. The rope makes an angle `theta = 45^(@)` with respect to the wall. The point where the rope is attached to the wall is at a distance of `(3R)/(2)` from the point where the sphere touches the wall. Find the minimum coefficient of friction `(mu)` between the wall and the sphere for this equilibrium to be possible.

A sphere of radius R is supported by a rope attached to the wall. The

1.	A sphere of radius R is supported by a rope attached to the wall. The rope makes an angle `theta = 45^(@)` with respect to the wall. The point where the rope is attached to the wall is at a distance of `(3R)/(2)` from the point where the sphere touches the wall. Find the minimum coefficient of friction `(mu)` between the wall and the sphere for this equilibrium to be possible.
Answer» Correct Answer - `mu_("min") = (1)/(2)`

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