I am confused with center of mass for wire right triangle. Help!

Oct 2017
2
0
Hey guys,

So far, I finished 1, 2, and 4. However, I am stuck with Q3. How do I solve it? I really have no idea where to start. It's just a wire bend to form a right triangle.

Any help would be appreciated!

 
Aug 2008
113
35
$M = \lambda(h + w + \sqrt{h^2+w^2})$

$x_c = \dfrac{\sum m_i x_i}{M} = \dfrac{\lambda\left[h\left(0\right) + w\left(\frac{w}{2}\right)+\sqrt{h^2+w^2} \left(\frac{w}{2}\right) \right]}{M}$

think you can figure out $y_c$ yourself?

$z_c = 0$