An example in the xy -plane. A force F=x^2yi+xy^2j acts on a body as it
moves between (0, 0) and (1, 1). Determine the work done when the path is along the line y=x.
Select one:
A. 1
B. 14
C. 13
D. 12
∫(0,0)(1,1)Fdl=[y=xdl=(dx,dx)F=(x3,x3)Fdl=x3dx+x3dx=2x3dx]=∫012x3dx=2⋅144=0.5No correct variant\int_{\left( 0,0 \right)}^{\left( 1,1 \right)}{Fdl}=\left[ \begin{array}{c} y=x\\ dl=\left( dx,dx \right)\\ F=\left( x^3,x^3 \right)\\ Fdl=x^3dx+x^3dx=2x^3dx\\\end{array} \right] =\int_0^1{2x^3dx}=2\cdot \frac{1^4}{4}=0.5\\No\,\,correct\,\,variant∫(0,0)(1,1)Fdl=⎣⎡y=xdl=(dx,dx)F=(x3,x3)Fdl=x3dx+x3dx=2x3dx⎦⎤=∫012x3dx=2⋅414=0.5Nocorrectvariant
Need a fast expert's response?
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments