For a solid cone of height h, the CG lies on the axis at a distance above the base equal to
h/4
h/3
2h/3
3h/8
The ratio of moment of inertia of a rectangle and that of a triangle, having same base and height, with respect to their bases would be
2 : 1
3 : 1
4 : 1
6 : 1
The ratio of the moment of inertia of a triangle of base width b and height h with respect to an axis coinciding with its base and a centroidal axis parallel to the base would be
2 : 1
3 : 1
1 : 4
6 : 1
The ratio of moment of inertia of a circle and that of a square having same area about their centroidal axis is
The moment of inertia of a sphere of mass m and radius r about diameter as axis is given by
2 m r2
3
2 m r2
5
1 m r2
2
3 m r2
5
The moment of inertia of a thin circular ring with radius r and mass m about an axis through its centre and perpendicular to its plane would be
mr2
1 m r2
2
3 m r2
2
5 m r2
4
Consider a circular cylinder of mass m, radius r and length l. The moment of inertia with respect to central longitudinal axis would be
m r2/2
m r2/3
m r2/6
m r2/12
The length to radius ratio l/r of a solid cylinder such that the moments of inertia about the longitudinal and transverse axis are equal is
1
2
The radius of gyration of a solid sphere of radius r with respect to diametral axis is
r2/5
2r2/5
r2/2
4 r2/5
The moment of inertia of a thin spherical shell of mean radius 0.5 m and mass 20 kg about diameter as axis would be
2.5 kg m2
3.33 kg m2
5 kg m2
2.0 kg m2