(Figure 5.196) shows an elevator cabin, which is moving downwards with constant acceleration a . A particle is projected from corner A, directly towards diagonally opposite corner C. Then prove that (a) particle will hit C only when a = g. (b) Particle will hit the wall CD if a lt g. ( c) Particle will hit the roof BC if a gt g. .

(Figure 5.196) shows an elevator cabin, which is moving downwards with

1.	(Figure 5.196) shows an elevator cabin, which is moving downwards with constant acceleration a . A particle is projected from corner A, directly towards diagonally opposite corner C. Then prove that (a) particle will hit C only when a = g. (b) Particle will hit the wall CD if a lt g. ( c) Particle will hit the roof BC if a gt g. .
Answer» Solution :Superimpose an upward acceleration `a` on the SYSTEM. The box becomes STATIONARY. The particle has an upward acceleration `a` and a downward acceleration `G. If a = g`, the particle has no acceleration and will hit `C`. If `a GT g`, the particle has a net upward acceleration, and if `a lt g`, the particle has a net downward ACCLERATION.