[First Year Statics] Replace Force System

1 reply · 2K views · last reply
lc99
Messages
161
Reaction score
3

Homework Statement


Statics diagram of a rectangular block with a 2 m edge along x, a 3 m edge along y and a vertical z axis at corner O, showing a 400 N force on the top face, a 200 N force at the far y-edge, and a 200 N force at the x-edge.

Homework Equations

The Attempt at a Solution


[/B]
the force resultant = (100i +620j +800k) = 379 N
moment result is (100i-620j+800k) = 1017 which is not correct!

I calculated the moment of all forces about point O using cross product so...

(-3i + 2j) x (-200j) + (-3i +2j) x (-400i) +(3i +0.5k) x (120i +160k)

But, somehow, I am not getting 590 N*m which is the correct answer
 
Attachments
  • Statics diagram of a rectangular block with a 2 m edge along x, a 3 m edge along y and a vertical z axis at corner O, showing a 400 N force on the top face, a 200 N force at the far y-edge, and a 200 N force at the x-edge.
    upload_2018-2-18_14-3-6.png
    9.6 KB · Views: 810