Topic 7Chapter 4: Moments of forces (3D)Sleeve A can provide a maximum resisting moment of 125 N-m about the x axis. How do you find the maximum force F before the bracket rotates?Moments of a force in 3DMethod #3: vector cross-productA 750 lb force is applied to a pipe bracket as shown. Determine the moment of the force about point Oxyz along hinge axisMo= r x F gives rotation about axis perpendicular to the plane of r and F. What if we want to project the moment onto another axis?What if I apply a force F along y but it is downward and not in xy plane?r is along y, F is along -x (in xy plane)Remember the dot product of two vectors A, BA.B = A B cosθABWhat is the projection (component) of vector A on vector B?Moment of a Force about a lineMoment of force about a line1) Find moment about a point on the axis: 𝑴𝑨= 𝒓 × 𝑭2) Project onto axis of interest:find direction: Ƹ𝑒𝑛get magnitude using dot product:𝑀||= 𝑴𝑨∙ Ƹ𝑒𝑛get vector form: 𝑴||= 𝑀||∗ Ƹ𝑒𝑛Does all the moment of force P act to turn the socket?Determine the moment of the 300 N force about line OA. Express the result in Cartesian vector formItems to complete◼ No ICW for today so no ICW submission◼ Complete Homework #7 in Pearson by midnight, Thursday, 6/16◼ After completing Quiz #3 part a) in-class, complete the solution report Quiz #3 part b) and submit it by midnight, Sunday, 6/19. It should have a complete solution containing any FBD’s needed for the problem, the governing equations, the values used in the equations, the answers with