A particle is projected horizontally with velocity from the top of a smooth sphere of…

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A particle is projected horizontally with velocity

u

from the top of a smooth sphere of radius

a

so that it slides down the outside of the sphere. If the particle leaves the sphere after falling through a height

\frac{a}{4}

, find

u