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Variable Mass and Conservation of Linear Momentum

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The problem is related to variable mass systems. A cylinder is moving through dust particles and the particles are sticking to it.

A mass in the form of a solid cylinder, of radius c acted upon by no forces, moves parallel to its axis through a uniform cloud of fine dust, of volume density , which is at rest. If the particles of dust which meet the mass adhere to it, and if M and u be the mass and the velocity at the beginning of the motion, prove that the distance x traversed in time t is given by the equation

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Solution Summary

A very good conceptual question in which the motion is determined when the mass of a moving cylinder is increasing due to sticking dust particles present in the space.

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Solu. Mass of the system moving at any time t is the mass of the cylinder and the mass of the dust deposited on ...

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