- #1
Saladsamurai
- 3,020
- 7
[SOLVED] Reduction to a Wrench
So far I have moved the forces to point O where [itex]\sum F=F_r=-10.0\hat{j}[/itex] I have also re-written each force in Cartesian-vector form where
[itex]F_1=10[\frac{6i-6j}{\sqrt{72}}=7.071i-7.071j[/itex] [itex]F_2=-10j[/itex] and [itex]F_3=-F_1=-7.071i+7.071j[/itex].
I am told to decompose each force into its components and then use scalar method to find the sum (which I did above) and to find the sum of the moments about each of the x,y,z axes. Then move the forces to get a wrench.
I have found each of the moments as follows:
[tex]\sum M_x=2(10)-2(7.071)=5.858[/tex]
[tex]\sum M_y=-6(7.071)=-42.426[/tex]
[tex]\sum M_z=6(7.071)-6(7.071)= 0[/tex]
Now I am a little confused. I am just not sure where to go from here. I know I need to find M-perp and M-parellel which looks to be what I have just found.
Are my moments correct? I think they are. And where do I go from here?
So far I have moved the forces to point O where [itex]\sum F=F_r=-10.0\hat{j}[/itex] I have also re-written each force in Cartesian-vector form where
[itex]F_1=10[\frac{6i-6j}{\sqrt{72}}=7.071i-7.071j[/itex] [itex]F_2=-10j[/itex] and [itex]F_3=-F_1=-7.071i+7.071j[/itex].
I am told to decompose each force into its components and then use scalar method to find the sum (which I did above) and to find the sum of the moments about each of the x,y,z axes. Then move the forces to get a wrench.
I have found each of the moments as follows:
[tex]\sum M_x=2(10)-2(7.071)=5.858[/tex]
[tex]\sum M_y=-6(7.071)=-42.426[/tex]
[tex]\sum M_z=6(7.071)-6(7.071)= 0[/tex]
Now I am a little confused. I am just not sure where to go from here. I know I need to find M-perp and M-parellel which looks to be what I have just found.
Are my moments correct? I think they are. And where do I go from here?