Question

A particle initially at rest starts moving from point a on the surface of a fixed smooth hemisphere

Answer 1

Answer:

As indicated, a particle begins to move from point A on the surface of a fixed smooth globe of radius r. At point B, the particle loses contact with the hemisphere, and point C is the hemisphere's centre.

Explanation:

r(1cos) is the initial height.

r(1sin) is the final height.

r(1sin)r(1cos)=r(cossin) is the net vertical displacement.

Apply the kinematic equation v 2 u 2=2as v 2=2gr(cossin)

Typical response,

N=mgsinβ−r