Question

Specify the x and y coordinates? (Mechanics)

Replace the loading shown by an equivalent single resultant force and specify the `x` and `y` coordinates of its line of action.

Answer 1

Resultant is force `- 600N \ bb hatz` acting through `(2/3, -2/3)`

Explanation:

Total force is:

`sum bbF = - 600N qquad bb hatz`

• Moment about y axis:

The 200N and the 2 x 100N cancel out leaving:

`M_(yy) = -200 * 2 = -400 = sum bbF * bar x`

`implies bar x = 2/3`

• Moment about x axis:

The 2 x 100N cancel out leaving:

`M_(\xx) = 2 * (- 200) * (- 1) = 400 = sum bbF * bar y`

`implies bar y = -2/3`