Problem

A small ice block of mass m starts from rest from the top of an inverted bowl in the shape...

A small ice block of mass m starts from rest from the top of an inverted bowl in the shape of a hemisphere, as shown in the figure. The hemisphere is fixed to the ground, and the block slides without friction along the surface of the hemisphere. Find the normal force exerted by the block on the sphere when the between the block and the center of the sphere makes an angle θ with the horizontal. Discuss the result.

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