A solid sphere is rolling down in the inclined plane, from rest without slipping. The angle of inclination with horizontal is 30^(@). The linear acceleration of the sphere is___(Assume g=10ms^(-2))

A solid sphere is rolling down in the inclined plane, from rest withou

1.	A solid sphere is rolling down in the inclined plane, from rest without slipping. The angle of inclination with horizontal is 30^(@). The linear acceleration of the sphere is___(Assume g=10ms^(-2))
Answer» (a) `28 ms^(-2)` (b) `3.9ms^(-2)` (c) `(25)/(7) ms^(-2)` (d) `(1)/(20)ms^(-2)` Solution :We know that `a=(g sin theta)/(1+(k^(2))/(R^(2)))=(g sin 30^(@))/(1+(2)/(5))` `:.(k^(2))/(R^(2))` for solid SPHERE `=(2)/(5)` `a=(10xx(1)/(2))/((7)/(5))=(25)/(7)=3.6 ms^(-2)`