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!

Characteristics of a rigid body.

  1. Jun 25, 2013 #1
    Why is the angular velocity and angular acceleration(if the rigid body has some) same for all points on a rigid body?
     
  2. jcsd
  3. Jun 25, 2013 #2

    CWatters

    User Avatar
    Science Advisor
    Homework Helper

    What would happen if the front and back of a car had different velocity?
     
  4. Jun 25, 2013 #3

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    Take an angle fixed by three points A, B, C within the body. As the body rotates, the angle ABC must be preserved. So AB and BC must rotate by the same angle. Differentiating, deduce that the angular velocities and accelerations must also be the same.
     
  5. Jun 25, 2013 #4
    But this gets that angular velocity of AB=angular velocity of BC
    How does this get that angular velocity of A,B,C are equal?
     
  6. Jun 25, 2013 #5

    SteamKing

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    Hint: look up the definition of 'rigid'.
     
  7. Jun 25, 2013 #6

    CWatters

    User Avatar
    Science Advisor
    Homework Helper

    The points are arbitrary. So the centre of rotation can be B. That means the angular velocity of A is the same as the angular velocity of AB...

    Angular velocity of A = Angular velocity of AB = Angular velocity of CB = Angular velocity of C

    It's why I asked the question above. If two points on a body have different velocity (angular or linear) then those points must get closer together or further apart which would imply it's not a rigid body.
     
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: Characteristics of a rigid body.
  1. Rigid body (Replies: 1)

  2. Rigid bodies (Replies: 5)

  3. Rigid Body Rotation (Replies: 1)

Loading...