Find the radius of gyration of a hollow uniform sphere of radius R about its tangent.
$\sqrt{\frac{5}{3}} R$
$\sqrt{\frac{2}{3}} R$
$\sqrt{\frac{3}{5}} R$
$\sqrt{\frac{2}{5}} R$

Question

Find the radius of gyration of a hollow uniform sphere of radius R about its tangent-sqrt-dfrac-5-3-  Rsqrt-dfrac-2-3-  Rsqrt-dfrac-3-5-  Rsqrt-dfrac-2-5-  R

Toppr Admin · Accepted Answer

Moment of inertia of a hollow sphere about a tangent- I-53MR2MK2-53MR2-x21D2-K-x221A-53R

Find the radius of gyration of a hollow uniform sphere of radius R about its tangent.√53 R√23 R√35 R√25 R

Moment of inertia of a hollow sphere about a tangent, I=53MR2MK2=53MR2⇒K=√53R

Find the radius of gyration of a hollow uniform sphere of radius R about its tangent.
$\sqrt{\frac{5}{3}} R$
$\sqrt{\frac{2}{3}} R$
$\sqrt{\frac{3}{5}} R$
$\sqrt{\frac{2}{5}} R$

Moment of inertia of a hollow sphere about a tangent, $I = \frac{5}{3} M R^{2}$
$M K^{2} = \frac{5}{3} M R^{2} \Rightarrow K = \sqrt{\frac{5}{3}} R$