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MHT CET202123 Sep 2021Morning ShiftPhysicsRotational MotionActual

Two identical particles each of mass ' m ' are separated by a distance ' d '. The axis of rotation passes through the midpoint of ' d ' and is perpendicular to the length d . If ' K ' is the average rotational kinetic energy of the system, then the angular frequency is

Options

  1. A2 ~d m K
  2. Bd 2 K m
  3. C2 ~d K m
  4. Dd 4 m K

Correct answer

C. 2 ~d K m

Step-by-step solution

Moment of inertia I =2 ~m ( d 2 )^2= md ^2 2 Kinetic energy K= 1 2 I ^2 aligned & ^2= 2 ~K I =2 ~K 2 md ^2 = 4 ~K md ^2 & = 2 ~d k m aligned

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