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erma4kov
2 months ago
13

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
Engineering
1 answer:
Daniel [329]2 months ago
3 0

Answer:

  M_o = 18.84 N*m clockwise.  

Explanation:

Given:

- Force F = 120 N

- Length b = 610 mm

- Height h = 330 mm

Required:

Calculate the moment M_o at the origin and its direction:

Solution:

- The force is divided into components F_x and F_y along the base b and height h, respectively:

                    F_x = F*cos(Q)

                    F_x = F*(h / sqrt(h² + b²))

                    F_x = 120*(330 / sqrt(330² + 610²))

                    F_x = 57.098 N

- The F_y component can be excluded as it passes through the origin, resulting in zero moment.

- The moment at point O is calculated as:

                     M_o = F_x * h

                     M_o = 57.098*.33

                    M_o = 18.84 N*m clockwise.  

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