From a rectangular plate whose cross-section is 8 cm * 6 cm, circular disc of 3 cm2 in area is removed. If CG of the reminder is 1 mm from the CG of the rectangular plate, the distance of the centre of disc from the centre of rectangular plate is
1.0 cm
1.5 cm
2.5 cm
3 cm
The moment of inertia of rectangular element (b * h) about an axis coincident with side b would be
bh3/12
bh3/6
bh3/3
2bh3/3
A right circular cone of 20 cm height weighs 1000 N. A cone of 8 cm height and 64 N weights is removed from the top. The distance of CG of the frustum from the base is approximately
2.5 cm
3.25 cm
4.25 cm
6 cm
A triangular plate in the form of an isosceles triangle ABC has base BC = 10 cm and altitude = 12 cm. From this plate, a portion in the shape of an isosceles triangle OBC is removed. If O is the mid point of the altitude of triangle ABC, then distance of CG of the reminder section from the base is
3.5 cm
4.8 cm
6 cm
8 cm
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 moments of inertia of a solid circular section of radius r and of a hollow circular section of radii R and r, each about the diametral lines, are equal. Then
R = 2r
R = 4r
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