Viscous Trajectory

Classical Mechanics Level 4

This problem was asked to a friend of mine in the KVPY interview. He was asked to describe the motion qualitatively. I wanted to analyse it quantitatively.

A solid wooden sphere with density less than water is released with a speed v in water, along the positive x axis, at the origin.

Find its maximum x coordinate (in meters)

Details and assumptions

  • Stoke's law is applicable.
  • The tank is very large.
  • Mass of the sphere = 6 Kg
  • Initial speed = pi m/s
  • Radius of sphere = 0.5 m
  • Coefficient of viscosity = 1

Problem Loading...

Note Loading...

Set Loading...