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A body at rest explodes into two pieces of unequal mass. The parts will move

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Important Questions on System of Particles and Rotational Motion

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A point object of mass m is kept at (a, 0) along x-axis. What mass should be kept at (-3a, 0), so that centre of mass lies at origin?
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Locate the centre of mass of arrangement shown in figure. The three rods are identical in mass and length

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A particle of mass m is thrown horizontally from the top of a tower and another particle of mass 2 m is thrown vertically upward. The acceleration of centre of mass is
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A child is standing at one end of a long trolley moving with a speed v on a smooth horizontal track. If the child starts running towards the other end of the trolley with a speed u , the centre of mass of the system (trolley + child) will move with a speed
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The angle between vectors (M×N) and N×M is
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A vector A points towards North and vector B points upwards then A×B points towards