Question 675: Centre of Mass and Rotational Motion

Question

The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is

Accepted Answer

M.I. of a circular disc, $$M{k^2} = {{M.{R^2}} \over 2}$$
M.I. of a circular ring = MR
2
.
$$ 	herefore $$ Ratio of their radius of gyration = $${1 \over {\sqrt 2 }}:1$$
$$ \Rightarrow $$ 1 : $${\sqrt 2 }$$

Answer

$$\sqrt 2 :1$$

Answer

$$\sqrt 2 :\sqrt 3 $$

Answer

$$\sqrt 3 :\sqrt 2 $$

Answer

$$1:\sqrt 2 $$

Centre of Mass and Rotational Motion

The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is

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