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With what minimum speed v must a small ball should be pushed inside a smooth vertical tube from a height h so that it may reach the top of the tube? Radius of the tube is R.
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Centre of mass of three particles of masses 1kg, 2 kg and 3kg lies at the point (1,2,3) and centre of mass of another system of particles 3kg and 2kg lies at the point (-1,3,-2). Where should we put a particle of mass 5kg so that the centre of mass of entire system lies at the centre of mass of first system?
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