IB Physics Engineering Mechanics

A tutorial sheet of questions for the engineering physics topic is given below.

  1. A uniform spherical shell of mass M has an inner radius a and an outer radius b. Find the moment of inertia of the shell about an axis through its centre.
  2. What is the difference between torque and work done by a force?
  3. Does the angular momentum of a spinning object always have the same direction as its angular velocity?
  4. A disc of moment of inertia 3I has angular velocity ⍵ about its axis in a horizontal plane. Another disc of moment of inertia I is placed from a state of rest on the first disc with their axes coincident. After a short time both discs have a common angular velocity. Find the kinetic energy "lost" in this interaction. Where does it go?