The radius of gyration of a solid sphere of radius r about a certain axis is r. The distance of this axis from the centre of the sphere is

Question

The radius of gyration of a solid sphere of radius r about a certain axis is r. The distance of this axis from the centre of the sphere is (A) r (B) 0.5 r (C) √0.6 r (D) √0.4 r

Tardigrade Admin · Accepted Answer

I =m k2=m r2=I CM +m h2=(2/5) m r2+m h2 or h2=(3/5) r2 or h=√0.6 r

Q. The radius of gyration of a solid sphere of radius $r$ about a certain axis is $r$ . The distance of this axis from the centre of the sphere is

$r$

$0.5 r$

$0.6 r$

$0.4 r$

$I = m k^{2} = m r^{2} = I_{CM} + m h^{2} = \frac{2}{5} m r^{2} + m h^{2}$
or $h^{2} = \frac{3}{5} r^{2}$ or $h = 0.6 r$

Q. The radius of gyration of a solid sphere of radius r about a certain axis is r. The distance of this axis from the centre of the sphere is

r

0.5r

0.6​r

0.4​r

I=mk2=mr2=ICM​+mh2=52​mr2+mh2 or h2=53​r2 or h=0.6​r

Q. The radius of gyration of a solid sphere of radius $r$ about a certain axis is $r$ . The distance of this axis from the centre of the sphere is

$r$

$0.5 r$

$0.6 r$

$0.4 r$

$I = m k^{2} = m r^{2} = I_{CM} + m h^{2} = \frac{2}{5} m r^{2} + m h^{2}$
or $h^{2} = \frac{3}{5} r^{2}$ or $h = 0.6 r$