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-   -   Motion of an equalateral triangle, differenciating (https://www.askmehelpdesk.com/showthread.php?t=409298)

  • Oct 24, 2009, 05:01 PM
    printz0r
    Motion of an equalateral triangle, differenciating
    I am doing a advanced physics problem where I have an equilateral triangle with all of its corners connected to a wheel. The triangle is sitting up right on 2 wheels. It has sides of .2m The wheel to the right is being lifted at a constant rate of .3 m/s. Which causes the wheel on the left to move in the x direction only. The question asks to solve for the angular velocity of the triangle.

    The book starts the problem saying that x^2 +y^2 = b^2. They differentiate which leads to x(dx/dt) + y(dy/dt) = 0. How does that differential work, + how do you solve the rest of the problem?
  • Oct 24, 2009, 11:40 PM
    Unknown008

    I don't quite understand what is happening, but I know how they got that differential equation.



    Differentiate with respect to t:



    I guess b is a constant here.

    Factorise 2:



    That means;





    Could you try posting a picture?

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