A beam of length L is bolted to a wall at its person OST lower end, while its upper end rests on a wall DO N vertical post. The beam makes an angle 0 with DO the horizontal and the top of the post is cut at beam the same angle, to exactly fit the underside of DO N the beam. So the post exerts a normal force on DO the beam, but not a frictional force. An adult is standing on the beam, a distance d from its DO lower end. Everything is at rest. NOT POST DO NOT POST DO NOT ASSIST DO NOT POST UV NUI MODIOI DU NUI TUOI DVI post DO NOT POST DO NOT ASSIST DO NOT POST DO NOT ASSIST DO NOT POST DO NOT ASSIST (1) RNG The beam's length is L - 3-7 m, the distance d is 60-80% of L (e.g, 69.1% of L is 0.6914), the angle 0 = 20-40, the beam's mass is M= 40-70 kg. Also choose a reasonable mass Mp for the person, assuming an adult. Round all randoms to 3 SF and list them here. DO DO NOT DO NOT ASSIST (2) Draw a FBD for the beam, at least as large as your hand. NOT ASSIST DO NOT POST DO NOT ASSIST The beam should be tilted, as in the diagram here, not horizontal ST DO NOT POST DO NOT ASSIST . Include a torque axis (dot) at the lower end of the beam. OT ASSIST DO NOT POST DO NOT ASSIST "Draw standard x-y axes: horizontal and vertical DO NOT ASSIST DO NOT POST DO NOT ASSIST DO . Required force symbols: SIST DO NOT POST DO NOT ASSIST DO NOT POST DO NOT ASSIST DO NOT . Fw: force from the wall; it's NOT parallel to the beam, or horizontal, or vertical DO NOT ASSIST DO NOT . FN: normal force from the post (hint: not vertical! see description) DO NOT POST DO NOT ASSIST . Fo: gravitational force acting on the beam DO NOT DO NOT ASSIST DO NOT POST DO NOT ASSIST . Fp : force the person exerts on the beam, equal in magnitude to the gravitational force acting on them DO NOT assume Fppoints straight down ASSIS DO. Draw labeled vectors for both components of the two forces that aren't horizontal or vertical (FN, Fw) IST DO NOT POST DO NOT ASSIST DO NOT POST DO NOT ASSIST DO NOT POST DO NOT ASSIST (3) Starting from N2L for torques (Tnet = I a), and showing all steps in your derivation, calculate the magnitude FN of the normal force the post exerts on the beam. POST DO NOT ASSIST DO NOT POST DO NOT ASSIST (4) Starting from N2L for forces, and showing all steps in your derivations, calculate the magnitude Fw of the force the wall exerts on the beam. Tip: calculate the components of Fw first, since both the magnitude and SIST direction of this force are unknown