# Center of Mass of Standard Continuous Objects (Part-1)

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There are several continuous objects which are used frequently in problems based on different physical situations. Here we’ll study about localization of these standard objects

**1. Center of Mass of a Uniform Half Ring**: To locate the center of mass of a half Ring, we consider

a polar element on the circumference of Ring and find the center of mass by integrating it within

limits from -90 degree to +90 degree.

For detailed analysis, see the video below – https://youtu.be/bJWFgJTxIFk

** 2. Center of Mass of a Uniform Half Disc**: To locate the center of mass of a half Disc, we consider

an elemental half ring at radius x and width dx on the surface of disc and find the center of mass

by integrating it within limits from 0 to R, the radius of disc.

For detailed analysis, see the video

below – https://youtu.be/xTJKSzHsHWw

**3. Center of Mass of a Uniform Hollow Hemisphere**: To locate the center of mass of a hollow

hemisphere, we consider an elemental ring of polar width d*(theta)* at an angle*(theta)* from the axis of

hollow hemisphere and find the center of mass by integrating it within limits from 0 to 90

degree.

For detailed analysis, see the video below- https://youtu.be/UiAH-Ev6PRA

** 4. Center of Mass of a Uniform Solid Hemisphere**: To locate the center of mass of a solid

hemisphere, we consider an elemental disc at a distance x from center of hemisphere, the width

of elemental disc is taken as dx and find the center of mass by integrating it within limits from 0

to R, the radius of hemisphere.

For detailed analysis, see the video below – https://youtu.be/KBGsorVYqfo