1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Determine Rotational Inertia

  1. Jul 4, 2017 #1
    1. The problem statement, all variables and given/known data
    Side by side on the top of an incline plan with height=2 meters a cylinder (Ic= MR^2/2) and a sphere (Ie=2MR^2/5) with equal radius, that come down to the base, rolling without slipping. Mass of the cylinder = 2.0 kg; Mass of a sphere=4.0 kg.

    2. Relevant equations

    $$K_r= 1/2 I \omega ^2$$
    For rolling without slipping $$v=\omega R$$

    3. The attempt at a solution
    At first I thought this was a pretty linear problem.
    Applying both equations to both the sphere and the cylinder:

    $$K= 1/4 M_c v_c^2$$
    $$K= 1/5 M_e v_e^2$$

    Than I applied conservation of mechanical energy to determine velocity. However this is not correct since we don't know if there is a friction force (in fact we find out in the next question that it has).
    So how should I proceed in this case to determine the velocities?
  2. jcsd
  3. Jul 4, 2017 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    You forgot about the energy due to the motion of the centre of mass.

    The frictional force does no work since the objects are rolling without slipping.

    Edit: You have also not stated what the actual question is ...
  4. Jul 4, 2017 #3
    I realized I was understanding the concept wrongly. Even though the ball is not slipping the center of mass moves so it has a kinetic energy associated, right?
    It has nothing to do with the ball slipping.
  5. Jul 4, 2017 #4


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    Yes. In general the total kinetic energy can be written as the energy related to the motion of the centre of mass and an additional piece due to the rotation (using the moment of inertia relative to the centre of mass).

    If the ball was slipping you would have to worry about frictional forces (unless specified that friction can be neglected). In order for the ball to roll, there needs to be friction, but it will not perform any work if the ball rolls without slipping.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Discussions: Determine Rotational Inertia
  1. Rotation and Inertia (Replies: 5)

  2. Rotational Inertia (Replies: 1)

  3. Rotational inertia (Replies: 2)

  4. Rotational inertia (Replies: 8)

  5. Rotational Inertia (Replies: 1)