This is a gordon rule question Q#1 A solid cylinder and a hollow cynder roll fro

Question

This is a gordon rule question Q#1 A solid cylinder and a hollow cynder roll from rest downan incline plane. If both cylinder have the same mass and externalradius, which cylinder reaches the bottom first? . which has thegreater momentum of inertia? and why? This is a gordon rule question Q#1 A solid cylinder and a hollow cynder roll from rest downan incline plane. If both cylinder have the same mass and externalradius, which cylinder reaches the bottom first? . which has thegreater momentum of inertia? and why?

Explanation / Answer

Moment of inertia of soild cylinder I = ( 1/ 2) mr ^ 2

Moment of inertia of hallow cylinder I ‘ = mr ^ 2

Both have same mass and radius.

So, Moment of inertia of hallow cylinder is greater moment ofinertia than solid cylinder.

(b). from law of conservation of angular momentum , Iw =constant

From this angular speed is inversely proportional to its momentof inertia.

So, soild cylinder reaches the bottom first.

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