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Homework Help: Particle collides totally inelastically with a vertical free rod

  1. Jun 11, 2013 #1
    1. The problem statement, all variables and given/known data
    A particle of mass M moving on a frictionless surface with velocity ##V_0## collides totally inelastically with an uniform vertical rod of mass M and length L. After immediately the collision, what is the center-of-mass velocity, the moment of inertia about the center-of-mass, and the angular speed of the system.

    2. Relevant equations
    conservation of momentum and conservation of angular momentum
    moment of inertia

    3. The attempt at a solution
    I am wondering what point does the particle+rod system will rotate about?
  2. jcsd
  3. Jun 11, 2013 #2
    First form the two equations. Conservation of linear and Conservation of angular momentum. As there is no external force and Torque.
  4. Jun 11, 2013 #3


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    Staff Emeritus
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    The problem statement mentions "the moment of inertia about the center-of-mass", so that is a pretty good clue.
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