3.2 EQUILIBRIUM II

A beam of length L is bolted to a wall at its lower end, person while its upper end rests on a vertical post. The beam wall makes an angle 0 with the horizontal and the top of ST the post is cut at the same angle, to exactly fit the d underside of the beam. The post exerts a normal force beam on the beam, but not a frictional force. An adult is ST standing on the beam, a distance d from its lower end. All objects are at rest. DO NOT POST DO NOT ASSIST DO NOT POST DO NOT POST DO NOT ASSIST DO NOT POST post(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 d = 0.6911 =...), the angle 0 = 20-40, the beam's mass is MB - 40-70 kg, and the person's mass is Mp = 60-100 kg. Round all ST randoms to 3 SF and list them here - be sure to calculate d's actual value in meters. (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 DO Include a torque axis (dot) at the lower end of the beam.OT ASSIST DO NOT POST DO NOT ASSIST DO Draw standard x-y axes: horizontal and vertical DO NOT ASSIST DO NOT POST DO NOT ASSIST Required force symbols'sSIST DO NOT POST DO NOT ASSIST DO NOT POST DO NOT ASSIST DO NOT o Fw: force from the wall; it's NOT parallel to the beam, or horizontal, or vertical ST DO NOT ASSIST o Fr: normal force from the post (hint: not vertical! see description) DO NOT DO NOT ASSIS DO NOT POST DO NOT ASSIST Fo: gravitational force acting on the beam DO No Fp : force the person exerts on the beam, equal in magnitude to the gravitational force acting on them; S DO NOT Fassume Fppoints straight down NOT POST DO NOT ASSIST DO NOT POST DO NOT ASSIST . Draw labeled vectors for both components of the two forces that aren't horizontal or vertical (FN, Fw) IST(3) Starting from N2L for torques (Tnet = I o ), and showing all steps in your derivation, calculate the magnitude FN of the normal force the post exerts on the beam. DO NO(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. If you're skeptical about my claim that Fw isn't parallel to the ladder, good! You can find out by calculating the direction of Fwfrom its components, as an angle Ow relative to the horizontal, and compare to 0. This is not at all required for credit.