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Homework Help: Accelerating Wedge Problem, Help

  1. Sep 16, 2008 #1
    Accelerating Wedge Problem, Help!!!

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

    A 45degree wedge is pushed along a table with constant acceleration A.
    A block of mass m slides without friction on the wedge. Find its acceleration.
    As always, find your result in an inertial frame.

    2. Relevant equations

    (x - X) = (h - y)cot (theta)

    3. The attempt at a solution

    I used the equation (x - X) = (h - y)cot (theta)
    x = horizontal distance from the original place to the block
    X = horizontal distance from the original place to the wedge
    h = height of the wedge
    y = vertical distance from the ground to the block

    Since the angle is 45 degree, cot (theta) = 1 and
    after differentiating twice gives, x.. - X.. = -y.. (.. means twice differentiated)

    And X.. = A (the accel. of the wedge), so y.. = A - x..
    And since y.. is not affected by A, isnt y.. just -g?

    the answer clue in the book says "If A = 3g, y.. = g

    Please Help!!
  2. jcsd
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