Question

radius of gyration of about an axis passing through its centre and perpendicular its plane is 2cm. Determine the radius of gyration of the disc about a diameter​

Answer 1

⭐《ANSWER》

$\huge\mathfrak{\underline {\underline\pink {ANSWER}}}$

↪Actually welcome to the concept of the MOMENT OF INERTIA

↪here we can observe that ,

↪I = MK^2

↪so we get , the Radius of Gyration as ,

〽K = underoot (I / M)

↪So now here for getting the Radius of Gyration of an object across the diameter , we apply here the perpendicular Axis theorem

↪Iz = Ix + Iy

↪since , here , we get symmetry along all axis , we get as ,

↪( Ix = Iy)

↪Iz = 2 Ix

↪Ix = Iz/2

↪so now here, we apply , we get as

⭐K' = root 2 cm