Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping.
Question:
Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping. Assume that they start rolling from rest and having identical diameter.
The correct statement for this situation is:-
Correct Option: 1
Solution:
$\mathrm{a}=\frac{\mathrm{g} \sin \theta}{1+\frac{\mathrm{I}}{\mathrm{mR}^{2}}}$
$\mathrm{I}_{\text {ring }}>\mathrm{I}_{\text {solid cylinder }}>\mathrm{I}_{\text {solid sphere }}$
$\Rightarrow \mathrm{a}_{\text {ring }}<\mathrm{a}_{\text {solid cylinder }}<\mathrm{a}_{\text {solid sphere }}$
$\Rightarrow \mathrm{V}_{\text {ring }}<\mathrm{V}_{\text {solid cylinder }}<\mathrm{V}_{\text {solid sphere }}$