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Gravity and torque on balls rolling down an incline

  1. Nov 15, 2012 #1
    What is the significance of gravity on the torque of balls rolling down an incline?

    I know that gravity is able to exert a force, or torque by acting on the center of mass, causing an object to rotate. But what about rolling motion? Where would the axis of rotation be for a ball rolling down an incline?

    Also, in terms of gravity, what does it mean for a ball to have a large/small moment of inertia and torque. Does this show anything about the effects of gravity on balls that have large/small moments of inertia and torque?

    Relevant equations:
    T=Ia
    Tgrav=-mgx(cm)


    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 16, 2012 #2

    Simon Bridge

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    This is homework?
    It provides the torque.
    Draw the situation and draw in the gravity force. Draw in the friction force. If it were not a ball, but a tall narrow pin or something, you'd have no trouble with the idea that it would fall over down the slope would you. Where is the pivot point in that situation? Can you relate this to the ball?

    For the others, you need to relate the torque due to gravity with the acceleration of the ball.
    Moment of inertia is a standard concept in rotational motion - so it means what it always means.
    See also: http://www.real-world-physics-problems.com/rolling-without-slipping.html
     
  4. Nov 16, 2012 #3

    rcgldr

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    Gravity effectively acts on the center of mass of the ball, so it's not generating any torque. Friction force from the incline acts at the surface of the ball, opposing gravity somewhat, and generates the torque. If the incline had zero friction, there would be no torque, and the ball would slide and not rotate.
     
    Last edited: Nov 16, 2012
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