Question

forces of 1 and 2 units act along the lines x=0 y=0.the equation of the line of action of the resultant is​

Answer 1

The equation of line of action is 2y - x = 0.

Explanation:

• The magnitudes of forces are 1N and 2N.

• They act along x = 0 (y-axis) and y = 0 (x-axis). (refer the figure).

• So, their resultant R would be passed through origin along the line y = mx. This will be line of action.

• Also, we can understand the coordinate of R will be (2,1) (refer the figure).

• Since, their resultant would be passed through y = mx

• Here, m is the slope of line y = mx.

        $slope = tan\theta$

R(2,1) will satisfy the equation y = mx. Because, R lies on it.

Therefore; put x = 2 and y = 1 in y = mx

• $2 = m\times 1$

       $m = \dfrac{1}{2}$

Hence; the equation of line of action will be represented by equation;

• $y = \dfrac{1}{2} x$

      2y - x = 0

Thus, the equation of line of action is 2y - x = 0.

Answer 2

Explanation:

hope it helps you out of this question