## What is the centre of mass of semicircular disc?

Centre of Mass is a fixed point on the object about which the entire mass of the system is equally distributed. Knowing the value of the centre of mass is useful in solving mechanics problems, where we have to describe the motion of unevenly shaped objects and complicated systems.

## How do you find the center of mass?

The center of mass can be calculated by taking the masses you are trying to find the center of mass between and multiplying them by their positions. Then, you add these together and divide that by the sum of all the individual masses.

**What is the center of mass of circle?**

For example, the centre of mass of a circular lamina is at the centre of the circle, since the centre of mass is on each axis of symmetry and they all meet at the centre. When the centre of mass of a body cannot be found using the axis/axes of symmetry, it can be found by integration.

### What is the centre of mass of a hemispherical shell?

The centre of mass of the hollow hemisphere will lie on the y-axis, which is the line passing through the centre of the base of the hollow hemisphere. Therefore, the centre of mass of a hollow hemisphere will be at R/2 along the y-axis. Here R is the radius of the hollow hemisphere.

### What is the centre of mass of triangular plate?

The centre of mass of a uniform triangular lamina (or the centroid of a triangle) is at the meet of the medians.

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#### How to calculate the centroid of a semicircular element?

With the same set-up as you have described, consider semi-circular elements of radius x and thickness δx Now using the formula for the centroid of an arc, the distance of the centroid of the semicircular element from the origin is xsin(π 2) π 2 = 2x π