Moments,Center of Mass, & Centroid

[layd33foxx]

I got this wrong I did

a=0 & b=4

so,
m=p∫ x/5 dx
=[p x²/10] =8/5*p

mx=p∫ 1/2 (x/5)²
=p/50[x³/3]=32/75* p is wrong

 

[tkhunny]

In your \(\displaystyle M_{x}\), please explain the \(\displaystyle \frac{1}{2}\) and the square. Shouldn't you be multiplying by 'x'?

 

[HallsofIvy]

For a triangle the centroid (center of mass of a figure with constant density) is the point whose coordinates are the averages of the coresponding coordinates of the three vertices.