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MHT CET20228 Aug 2022Evening ShiftPhysicsRotational MotionActual

An uniform rod AB of mass m and length l is at rest on a smooth horizontal surface. An impulse P applied to the end B . The time taken by the rod to turn through a right angle is

Options

  1. A12 m P
  2. B2 m P
  3. C2 P m
  4. DP m

Correct answer

A. 12 m P

Step-by-step solution

Concept: ( angular impulse )=( change in angular momentum ) I=P l 2 =I = moment of inertia of the rod about O . aligned & I= ( m l^2 12 ) & P l 2 = m l^2 12 & = 6 p m l aligned We know, = Q t ; For = 2 t= = 2 l m 6 p = m l 12 p

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