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Homework Help: The Sliding Rod

  1. Dec 11, 2016 #1
    1. The problem statement, all variables and given/known data :

    A rod of length l is vertically standing on a friction less surface.
    It is slightly disturbed from this position. Let w(omega) and alpha be the angular speed and angular acceleration of the rod, when it turns through an angle theta, then find the value of acceleration of centre of mass of the rod.

    2. Relevant equations:

    acom = ( Fnet/mnet)

    tau = i * alpha

    tau= force*perpendicular distance from axis of rotation

    3. The attempt at a solution:

    Tried like this (but no luck):

    (mg-N)=ma , where a is the required answer.

    N * (l/2) sin theta = (1/12 m (l)^2) * alpha

    Solved to get : a = g-(l * alpha/(6 sin theta)).

    But answer given :

    l *(alpha/2)* sin theta + (w^2*l/2) cos theta

  2. jcsd
  3. Dec 11, 2016 #2
    Ok I understood what they are doing.

    But is the answer :
    g - (l*alpha/(6 sin theta)) wrong?
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