Question: A small body is placed on the top of a smooth sphere of radius R. Then the sphere is imparted a constant acceleration we in

A small body is placed on the top of a smooth sphere of radius R. Then the sphere is imparted a constant acceleration we in the horizontal direction and the body begins sliding down. Find:
(a) The velocity of the body relative to the sphere at the moment of break-off;
(b) The angle θo between the vertical and the radius vector drawn from the centre of the sphere to the break-off point; calculate θo for wo = g.

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