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A uniform solid sphere of mass 1 kg and ...

A uniform solid sphere of mass `1 kg` and radius 10 cm is kept stationary on a rough inclined plane by fixing a highly dense particle at `B`. Incination of plane is `37^@` with horizontal and `AB` is the diameter of the sphere which is parallel to the plane, as show in figure. Calculate

a. mass of the particle fixed at `B`
b. minimum required coefficient of friction between sphere and plane to keep sphere in equilibrium.

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