Class 11

5. Motion In A Plane question bank (Physics)

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Q1.

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)
\( \vec{L}_O \) and \( \vec{L}_P \) do not vary with time
(B)
\( \vec{L}_O \) varies with time while \( \vec{L}_P \) remains constant
(C)
\( \vec{L}_O \) remains constant while \( \vec{L}_P \) varies with time
(D)
\( \vec{L}_O \) and \( \vec{L}_P \) both vary with time
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Q2.

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  

(A)
\( n = \frac{2hv_0}{gw^2} \)
(B)
\( n = \frac{2hv_0^2}{gw} \)
(C)
\( n = \frac{hv_0^2}{gw^2} \)
(D)
\( n = \frac{2hv_0^2}{gw^2} \)
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