Centre of Gravity

A heavy chain, fixed at both ends is hanging as in fig(i). Now it is pulled in such a way that it forms a triangle as shown in figure (ii). Which of the following is correct?

A metre scale is suspended vertically from a horizontal axis passing through one end of it. Its time period would be

The centre of mass of an extended body on the surface of the earth and its centre of gravity

A giant wheel will be in stable equilibrium, if its centre of gravity lies _____.

A double star is a system of two stars rotating about their centre of mass only under their mutual gravitational attraction. Let the stars have masses $m$ and $2 \mathrm{m}$and let their separation be $l$. Their time period of rotation about their centre of mass will be proportional to

Imagine a hole drilled along the radius of earth. A uniform rod of length equal to radius $R$ of earth is inserted into the hole. The distance of centre of gravity of the rod from the centre of earth is $\frac{n}{3}R$, find the value of $n$.

Differentiate between centre of mass and centre of gravity.

The point at which the whole weight of the body acts is called _____.

Centre of mass and centre of gravity do not coincide in a

The position of centre of gravity of a body remains unchanged even when the body is deformed.

Centre of mass and centre of gravity do not coincide in a

Differentiate between centre of mass and centre of gravity.

When does the centre of mass and centre of gravity of a body coincide?

Define centre of gravity.

On the edge of a wall, we build a brick tower that only holds because of the bricks' own weight. Our goal is to build a stable tower whose overhang $d$ is greater than the length $l$ of a single brick. What is the minimum number of bricks you need?

Three identical spheres, each of mass $1$ $\mathrm{kg}$ are placed touching each other with their centres on a straight line. Their centre are marked $P, Q$ and $R$ respectively. The distance of centre of mass of the system from $P$ is :

A small ball is moving inside a box which is placed on a smooth horizontal surface. During motion, the ball makes collisions with the walls of the box then the position of the centre of mass:

A square frame made up of a wire of mass $m$ and length $l$ is held in the horizontal plane. It is free to rotate about $AD$. If the frame is released. What is the work done by gravity during the time frame it rotates through an angle of $90°$?