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A homogenous semi circular plate of radius 9 cm 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 A, B and C each of mass 1 kg and radii R, 2R and 3 R 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, A 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 L. The linear mass density is 2x kg m-1 where x 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 A and B of masses 50 kg and 20 kg are moving in a straight line in the same direction at speed of 9 km h-1 and 18 km h-1 respectively. Ball B hits A and reverses its direction at a speed of 27 km h-1. The speed of the ball A after the collision is
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Consider two particles 1 and 2 moving with constant velocities v1 and v2. If r1 and r2 are the radius vectors of the particles at the start, the relation between r1, r2, v1 and v2 when the two particles collide is