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JEE Main 202122 JulyMorning Shift
Exam
JEE Main
Year
2021
Date
22 July
Shift
Morning Shift
Subject
Physics
Chapter
Rotational Motion

JEE Main 2021 · 22 July · Morning Shift · Physics · Rotational Motion

Consider a situation in which a ring, a solid cylinder and a solid...

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

Options

  1. AThe sphere has the greatest and the ring has the least velocity of the centre of mass at the bottom of the inclined plane.
  2. BThe ring has the greatest and the cylinder has the least velocity of the centre of mass at the bottom of the inclined plane.
  3. CAll of them will have same velocity.
  4. DThe cylinder has the greatest and the sphere has the least velocity of the centre of mass at the bottom of the inclined plane.

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

a=gsinθ(1+ImR2)a = \dfrac{gsin\theta}{\left(1 + \dfrac{I}{m{R}^{2}}\right)}
Iring>Isolidcylinder>Isolidsphere{I}_{ring} > {I}_{solidcylinder} > {I}_{solidsphere}
⇒aring<asolidcylinder<asolidsphere⇒ {a}_{ring} < {a}_{solidcylinder} < {a}_{solidsphere}
⇒vring<vsolidcylinder<vsolidsphere⇒ {v}_{ring} < {v}_{solidcylinder} < {v}_{solidsphere}
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