What can be said about the centre of mass of a uniform hemisphere without making any calculation? Will its distance from the centre be more than r/2 or less than r/2?

Find the centre of mass of a uniform plate having semicircular inner and outer boundaries of radii R_1 and R_2 .

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

Suppose that a satellite in space, an earth station and the centre of earth all lie in the same plane. Let r be the radius of earth and R be the distance from the centre of earth to the satellite. Let d be the distance from the earth station from the satellite. Let 30^(@) be the angle of elevation from the earth station to the satellite. if the line segment connecting earth station and satellite subtends angle alpha at the centre of earth, then prove that d =R sqrt(1 + ((r )/(R))^(2) - 2(r )/(R ) cos alpha) .

Write down the moment of inertia of a disc of radius R and mass m about an axis in its plane at a distance R/2 from its centre.

The centre of mass of an object is the point inside or outside the object at which the total mass of the object can be assumed to be concentrated. The centre of mass of spherical object having uniform density is a its geometrical centre. The centre of mass of any object having uniform density is at its centroid. Where is the centre of mass located for an object of uniform density?

The centre of mass of an object is the point inside or outside the object at which the total mass of the object can be assumed to be concentrated. The centre of mass of spherical object having uniform density is a its geometrical centre. The centre of mass of any object having uniform density is at its centroid. Where can the total mass of an object be assumed to be concentrated?

The centre of mass of an object is the point inside or outside the object at which the total mass of the object can be assumed to be concentrated. The centre of mass of spherical object having uniform density is a its geometrical centre. The centre of mass of any object having uniform density is at its centroid. What was basis of Kepler's laws?

The centre of mass of an object is the point inside or outside the object at which the total mass of the object can be assumed to be concentrated. The centre of mass of spherical object having uniform density is a its geometrical centre. The centre of mass of any object having uniform density is at its centroid. Where is the centre of mass located for a spherical object?