Question

The force of magnitude F acts along the edge of the triangular plate. Determine the moment of F about point O. Find the general result and then evaluate your answer if F = 120 N, b = 610 mm, and h = 330 mm. The moment is positive if counterclockwise, negative if clockwise.

The force of magnitude F acts along the

Mo= ___________N*m

Answer 1

Answer:

  M_o = 18.84 N*m in the clockwise direction.  

Explanation:

Given:

- Force F = 120 N

- base b = 610 mm

- height h = 330 mm

Find:

Moment M_o about origin and its direction:

Solution:

- The force has two components F_x and F_y along base b and height h, respectively:

                    F_x = F*cos(Q)

                    F_x = F*(h / sqrt (h^2 + b^2))

                    F_x = 120*(330 / sqrt (330^2 + 610^2))

                    F_x = 57.098 N

- We can skip F_y as it passes through the the origin, hence moment produced is zero.

- Moment about O is :

                     M_o = F_x * h

                     M_o = 57.098*.33

                    M_o = 18.84 N*m in the clockwise direction.