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© BrainMass Inc. brainmass.com March 4, 2021, 6:11 pm ad1c9bdddf
The solution file is attached.
Solu. Mass of the system moving at any time t is the mass of the cylinder and the mass of the dust deposited on ...
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.