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  1. Tardigrade
  2. Question
  3. Physics
  4. A particle is projected horizontally with velocity V0=√2 g a along the smooth inside surface of a fixed hollow hemisphere of inner radius ' a ' at the level of the centre ' O '. The subsequent motion of the particle is confined between the horizontal planes one through the centre and the other at a depth h. Find the value of h :

Q. A particle is projected horizontally with velocity along the smooth inside surface of a fixed hollow hemisphere of inner radius ' ' at the level of the centre ' '. The subsequent motion of the particle is confined between the horizontal planes one through the centre and the other at a depth . Find the value of :

System of Particles and Rotational Motion Report Error

Solution:

By conserving angular momentum about vertical axis


By conserving mechanical energy

From equation (1) and (2) we get

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