Question

# A solid cylinder and a hollow cylinder which are both of the same mass and same external diameter are released from a similar height at the same time on an inclined plane. Both roll down without slipping. Which one is reaching the bottom first?A. solid cylinderB. both togetherC. one with higher densityD. hollow cylinder

Hint: Acceleration of a mass is having relation with moment of inertia. As the moment of inertia increases, the acceleration for the mass or the object which is rolling will get decreased. It is due to the inverse relation between them.

$a=\dfrac{g\sin \theta }{1+\dfrac{I}{M{{R}^{2}}}}$
Where $a$ the acceleration of a body is, $g$ is the acceleration due to gravity, $\theta$ is the angle of inclination, $I$ is the moment of inertia of the object, $M$ is the mass of the object and $R$ is the radius of the body.
${{I}_{solidcylinder}}<{{I}_{hollowcylinder}}$
${{a}_{solidcylinder}}>{{a}_{hollowcylinder}}$