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Math Help - Pleas help me with PHYSICS!

  1. #1
    ineedhwhelp
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    Pleas help me with PHYSICS!

    A 51 kg gymnast hangs vertically from a pair of parallel rings.

    (b) If the ropes are supported so that they make an angle of 35 with the ceiling, what is the tension in each rope?
    Last edited by ineedhwhelp; November 29th 2007 at 03:43 PM.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by ineedhwhelp View Post
    A 51 kg gymnast hangs vertically from a pair of parallel rings.

    (b) If the ropes are supported so that they make an angle of 35 with the ceiling, what is the tension in each rope?
    Start with a Free-Body Diagram of the point where the three ropes meet. I have a +x axis horizontally to the right and a +y axis straight up. There is a tension T1 acting up and to the left making a 35 degree angle with the -x axis, there is a tension T2 acting up and to the right making a 35 degree angle with the +x axis, and there is a weight w acting straight down.

    The point we have chosen is stationary and massless. So according to Newton's 2nd in the x-direction:
    \sum F_x = -T_1~cos(35) + T_2~cos(35) = 0

    So we know that T_2 = T_1. I'm just simply going to refer to this as "T" from now on.

    In the y-direction we have:
    \sum F_y = T~sin(35) + T~sin(35) - w = 0

    Thus
    T = \frac{w}{2~sin(35)} = \frac{mg}{2~sin(35)}

    I'll let you pick up the rest.

    -Dan
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