- #1

Northbysouth

- 249

- 2

## Homework Statement

Replace the three forces which act on the bent bar by a force-couple system at the support point A. Then determine the x-intercept of the line of action of the stand-alone resultant force R. The couple is positive if counterclockwise, negative if clockwise.

## Homework Equations

M

_{a}= Sum of the individual moments

## The Attempt at a Solution

For calculating R:

R = -2140 lb j - 1280 lb j + 730sin(25) i + 730cos(25) j

= 308.511 i - 2758.4 j

I know my R is correct, but my M

_{A}is incorrect:

M

_{A}= (-2140)(4) - (1280)(4 + 3.6cos(25) + 3.4) + (730)(3.6cos(25) +4)

= -16906.5 lb ft

For the x intercept I then:

(xi + yj) X (308.511 i - 2758.4 j)

= 2758.4c + 308.511y = -16906.5

Solving for x I got:

x = 0.111844y + 6.1291

hence the x intercept should be 6.1291 but it says its wrong.

Any suggestions?