A round uniform body of radius R, mass M and moment of inertia I, rolls down (without…

Physics · JEE Advanced · NTA ExamsRotational Motion

A round uniform body of radius R, mass M and moment of inertia I, rolls down (without slipping) an inclined plane making an angle q with the horizontal. Then, its acceleration is
  1. \(\frac{g \sin \theta}{1+\frac{I}{M R^{2}}}\)
  2. \(\frac{g \sin \theta}{1+\frac{M R^{2}}{I}}\)
  3. \(\frac{g \sin \theta}{1-\frac{I}{M R^{2}}}\)
  4. \(\frac{g \sin \theta}{1-\frac{M R^{2}}{I}}\)

Answer

(A) g 1+ I M R^ 2

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