Give the location of the centre of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the centre of mass of a body necessarily lie inside the body?
Answers
Explanation:
In all the four cases, as the mass density is uniform, centre of mass is located at their respective geometrical centres.
i) Sphere - Centre of Sphere
ii) Cylinder - Middle Point on axis of cylinder
iii) Ring - At centre of ring (Outside the ring)
iv) Cube - At point of intersection of diagnols
No, it is not necessary that the centre of mass of a body should lie on the body. For example, in case of a circular ring, centre of mass is at the centre of the ring, where there is no mass.
Answer:
All the given structures are symmetric bodies having a very uniform mass density.
Thus, for all the above bodies their center of mass will lie in their geometric centres.
It is not always necessary for a body’s center of mass to lie inside it, for example, the center of mass of a circular ring is at its center.
Explanation: