Question 686: Centre of Mass and Rotational Motion

Question

The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axes in the plane of the ring is

Accepted Answer

Radius of gyration of disc about a
tangential axis in the plane of disc is $${{\sqrt 5 } \over 2}R = {K_1}$$,
radius of gyration of circular ring of same radius
about a tangential axis in the plane of circular ring is
$${K_2} = \sqrt {{3 \over 2}} R$$
$$ 	herefore {{{K_1}} \over {{K_2}}} = {{\sqrt 5 } \over {\sqrt 6 }}$$

Answer

2 : 3

Answer

2 : 1

Answer

$$\sqrt 5 :\sqrt 6 $$

Answer

$$1:\sqrt 2 $$

Centre of Mass and Rotational Motion

The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axes in the plane of the ring is

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