A disc of moment of inertia I1 is rotating freely with angular velocity ω1 when a second…

Physics · JEE Main · NTA ExamsRotational Motion

A disc of moment of inertia I1 is rotating freely with angular velocity ω1 when a second, non-rotating disc with moment of inertia I2 is dropped on it gently.
 The two then rotate as a unit. Then the total angular speed is :
  1. \(\frac{I_{1} a_{1}}{I_{2}}\)
  2. \(\frac{I_{2} \alpha_{1}}{I_{1}}\)
  3. \(\frac{I_{1} \omega_{1}}{I_{2}+I_{1}}\)
  4. \(\frac{\left(I_{1}+I_{2}\right) \omega_{1}}{I_{2}}\)

Answer

(C) I_ 1 _ 1 I_ 2 +I_ 1

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