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A homogenous semi circular plate of radius placed at the origin as shown in the figure. The coordinate of center of mass is (Assume thickness is negligible)


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Important Questions on Centre of Mass
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Three spheres and each of mass and radii and respectively are kept touching each other as shown in the figure. Assuming the centers of the spheres are on a straight line, the distance of centre of mass of the system from the center of sphere, is


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If the sum of external forces acting on a system is zero, then the centre of mass

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A rod has length The linear mass density is where is the distance from the left end. The centre of mass of the rod from the left end lies at a distance of


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Two balls and of masses and are moving in a straight line in the same direction at speed of and respectively. Ball hits and reverses its direction at a speed of The speed of the ball after the collision is

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IMPORTANT
Consider two particles and moving with constant velocities and . If and are the radius vectors of the particles at the start, the relation between and when the two particles collide is
