Question #125498

A support supplies a force 5 kN to a wall as shown below. What is the x component of the moment (in kN-m) produced by this force about an axis in the direction of i+j+k(from the origin)?

Expert's answer

Force is 5 kN

Horizontal Component "i = F_x = 5 cos \\theta"

Vertical Component "j =F_y = 5 sin \\theta"

"x" component of the moment (in kN-m) "= M = F_x \\times d = 5 cos \\theta \\times d (kN-m)"

"d" is the distance of the force form origin

Force about an axis in the direction of "i+j+k = F_x + F_y +F_z = 5cos\\theta+5sin\\theta+0=5(cos\\theta+sin\\theta)"

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