A disk and a sphere of same radius but different masses roll off on two inclined planes of the same

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A disk and a sphere of same radius but different masses roll off on two inclined planes of the same altitudeand length. Which one of the two objects gets to the bottom of the plane first?

Accepted Answer

Acceleration of the object on rough inclined plane is a = $\frac{g \sin θ}{1 + \frac{I}{m R^{2}}}$
For sphere a₁ = $\frac{5 g \sin θ}{7}$
For disc a₂ = $\frac{2 g \sin θ}{3}$
a₁ > a₂, so sphere will reach bottom first.

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