JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
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:-
- A The sphere has the greatest and the ring has the least velocity of the centre of mass at the bottom of the inclined plane.
- B The ring has the greatest and the cylinder has the least velocity of the centre of mass at the bottom of the inclined plane.
- C All of them will have same velocity.
- D The cylinder has the greatest and the sphere has the least velocity of the centre of mass at the bottom of the inclined plane.
Answer & Solution
Correct Answer
(A) The sphere has the greatest and the ring has the least velocity of the centre of mass at the bottom of the inclined plane.
Step-by-step Solution
Detailed explanation
\(a=\frac{g \sin \theta}{1+\frac{I}{m R^{2}}}\) \(I_{\text {ring }}\,>\,I_{\text {solid cylinder }}\,>\,I_{\text {solid sphere }}\) \(\Rightarrow a_{\text {ring }}\,<\,a_{\text {solidcylinder }}\,>\,a_{\text {solidsphere }}\)…
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