A round uniform body of radius R, mass M and moment of inertia I rolls down (without slipping) on an inclined plane making an angle theta with the horizontal. Then its acceleration is ………….

A round uniform body of radius R, mass M and moment of inertia I rolls

1.	A round uniform body of radius R, mass M and moment of inertia I rolls down (without slipping) on an inclined plane making an angle theta with the horizontal. Then its acceleration is ………….
Answer» `(gsintheta)/(1-(MR^(2))/(I))` `(gsintheta)/(1+(I)/(MR^(2)))` `(gsintheta)/(1+(MR^(2))/(I))` `(gsintheta)/(1-(I)/(MR^(2)))` Solution :ACCELERATION of body ROLLING from incline plane, `a=(gsintheta)/(1+(K^(2))/(R^(2)))` but for radius of gyration K `I=MK^(2)` `therefore K^(2)=(I)/(M)` `therefore a=(gsintheta)/(1+(I)/(MR^(2)))`