A force Fis applied along an element of the right circular cone as shown in Figure 1. Express the moment of the force F about point O in vector form (in terms of unit vectors î, ĵ, k). F h Figure 1.

Question 1 (Type B) The following diagram will be referenced for all parts of this question: F₂ = 42 N -5 y 45° 4 F₁ = 30 N F₂ = 53 N a) Find the resultant force vector from adding F₁ and F3, using the parallelogram method of adding vectors. Provide Given, Find, Assume, Problem Type/Features, Force Diagrams, Calculations, and Conclusions as per the GE 123 Solution Requirements and Style Guide Winter 2024. Provide the magnitude and angle of the resultant force vector in your Conclusions. b) Find the resultant force vector from adding F₁, F2 and F3, using the triangle/trig method of adding vectors. Provide Given, Find, Assume, Force Diagrams, Calculations, and Conclusions as per the Solution Guide. Express the resultant force vector as a vector in your Conclusions with magnitude and angle.

Beam loaded as shown in Fig. below. Determine the Following: Reaction support at point B. a. 56KN (Downward Direction) b. 56KN (Upward Direction) c. 35KN (Downward Direction) d. 35KN (Upward Direction)   Reaction support at point D. a. 26 KN (Downward Direction) b. 26 KN (Upward Direction) c. 24KN (Downward Direction) d. 24KN (Upward Direction)   Shear force equation of section AB. a. -30KN b. 30KN c. -32KN d. 32KN   Shear force equation of  section CD. a. -24KN b. 24KN c. -28KN d. 28KN   Bending moment equation of section BC. a. 26KN(x)+56KN.m b. 26KN(x)-56KN.m c. -26KN(x)+56KN.m d. None of the above.   Maximum bending moment of the beam. a. 47KN.m b. 46KN.m c. 48KN.m d. None of the above

1.How is the length of a Flat Head or Countersunk, and a Fillister type of machine screw measured?