Question

The radius of gyration of a uniform disc about a line perpendicular to the disc eauals its radius . find the distance of the line from the centre . ​

Answer 1

solution :- The moment of inertia about and to the plane of disc of radius r and mass m is mr²

Aq to the question the radius of gyration of the disc about a point = radius of the disc

therefore, mk² = 1/2mr²+ md²

(k = radius of gyration about acceleration point , d = distance of a point from the centre )

k² = r²/2 + d²

r² - r² /2 = d²

d = r /√2 Answer ✔