A sphere of radius \( R \) is supported by a rope attached to the wall. The rope makes an angle ...

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A sphere of radius \( R \) is supported by a rope attached to the wall. The rope makes an angle \( \theta=45^{\circ} \) with respect to the wall. The point where the rope is attached to the wall is at a distance of \( 3 R / 2 \) 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.
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