5. Motion In A Plane question bank (Physics)

A small mass \( m \) is attached to a massless string whose other end is fixed at \( P \). The mass is undergoing circular motion in the x-y plane with centre at \( O \) and constant angular speed \( \omega \). If the angular momentum of the system, calculated about \( O \) and \( P \), are denoted by \( \vec{L}_O \) and \( \vec{L}_P \) respectively, then  

A ball rolls off the top of a stairway with horizontal velocity \( v_0\,\text{m/s} \). If the steps are \( h \) metre high and \( w \) metre wide, the ball will hit the edge of \( n^{\text{th}} \) step if