The force F = {6i + 8j+ 10k} N creates a moment about point O of Mo = {-14i + 8j + 2k} N.m. Mo 1 m y (a) If the force passes through a point having an x coordinate of Im, determine the y and z coordinates of the point. (b) Realizing that Mo = Fd, determine the perpendicular distance d from point O to the line of action of the force F.

Determine the magnitude of the force F given that its moment about the axis BC is 150 N-m. Z -4 m A 3 m X F -5 m B 3 m D 2 m C 1 m

An infinitely large sheet is subjected to a gross stress of 350 MPa. There is a central crack 5/π cm long and the material has a yield strength of 500 MPa. a. Calculate the stress-intensity factor at the tip of the crack. b. Calculate the plastic-zone size at the crack tip. c. Comment upon the validity of this plastic-zone correction factor for the above case.

Replace the effect of the forces, with the resultant Fv and the moment M at point D, if the force F1 acts at point A, A = (1,5; 1,5; 2) B= (1; 3,5; 1) F2 at point B and F3 at point C. C=(-1; 5,5; 0) D= (1; 1,5: - 0,5) F = (100; - 20; 0)N F, =(-40; -30; 15)N F, (0;-80; 120)N C YA F, ATA B.