Question

Which of the following (if mass and radius are assumed to be same) have maximum percentage of total K.E.in rotational form while pure rolling?​

Answer 1

Ring have maximum percentage of total K.E.in rotational form while pure rolling.

Explanation:

K.E = Translational K.E + Rotational K.E       [v = ωr]

K.E = 1/2 mv^2 + 1/2 Iω^2

K.E = 1/2 mv^2 + 1/2 I (v/R)^2

Disc I = mR^2 / 2

Sphere I = 2/5 mR^2

Ring I = mR^2

Hollow sphere I = 2/3 MR^2

Thus Ring have maximum percentage of total K.E.in rotational form while pure rolling.

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Find the kinetic energy of the sphere if the moment of inertia is given by 2/5 MR^2. ?

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