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Numericals on center of mass...

Numericals on center of mass

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Locate the center of mass.

Total work of pseudo forces in center of mass frame. Show that total work done in center of mass frame on all the particles of a system by pseudo forces due to acceleration of mass center is zero.

The coordinates of the center of mass of the following quarter circular arc are

The x and y coordinates of the center of mass of the three-particle system shown below are :

Assertion: If there are no external forces, the center of mass of a double star moves like a free particle. Reason: If we go to the center of mass frame, then we find that the two stars are moving in a circle about the center of mass, which is at rest.

Find the velocity of center of mass of the system shown in the figure.

Consider the situation as shown in the figure. Locate the center of mass.

Assertion: Center of mass and center of gravity of a body will coincide on moon. Reason: There is no gravity on moon.