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Thread: statics lamina

  1. #1
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    statics lamina

    statics lamina-win_20170427_18_43_56_pro.jpgstatics lamina-win_20170427_18_45_38_pro.jpgClick image for larger version. 

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    im stuck on question 6
    i am having trouble finding the centroid of the triangle. i plan on getting forces up=forces down and then taking my moments. i heard you have to take moments twice for the question. i do not know where in should take moments through.
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  2. #2
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    Re: statics lamina

    The coordinates of the "centroid" of a triangle is simply the average of the coordinates of the three vertices. That is, if the coordinates of the three vertices of a triangle are (x_0, y_0, z_0), (x_1, y_1, z_1) and (x_2, y_2, z_2) then the centroid is \left(\frac{x_0+ x_1+ x_2}{3}, \frac{y_0+ y_1+ y_2}{3}, \frac{z_0+ z_1+ z_2}{3}\right).
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    Re: statics lamina

    Thanks
    Once I let forces equal up and down do you know what I do next?
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    Re: statics lamina

    so i have got 3 equations 4w/3 +w=t1+t2+t3 from forces up=down. taking moments through Q 5(t1)+4(t3)=√5(4w/3)+√ 13/3(w)
    taking moments through R 4t2+3t1=√5(4w/3)+5/3 (w)
    i cant solve these though
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