(Solved): Force 1 , and 2 are applied to a uniform beam as shown in the figure. \( F_{g} \) is the gravitatio ...

Force 1 , and 2 are applied to a uniform beam as shown in the figure. \( F_{g} \) is the gravitational force of the uniform beam (passing through the center mass position of the beam). Assume the rotational axis passes through point \( O \) and perpendicular to the page. a) [10\%] Find the distance between the rotational axis and the force 1 acting point. b) [10\%] Find the angle between the the force 1 line and the line from rotational axis to the force 1 acting point. c) [10\%] Find the direction of the torque 1 due to force 1 . d) [20\%] Write the final answer of the torque 1 due to force 1 (include the sign). e) [5\%] Find the distance between the rotational axis and the force 2 acting point. f) [10\%] Find the direction of the torque 2 due to force 2 . g) [10\%] Write the final answer of the torque 2 due to force 2 (include the sign). h) [5\%] Find the distance between the rotational axis and \( \mathrm{Fg} \) acting point. i) [10\%] Find the direction of the torque due to \( \mathrm{Fg} \). i) \( [10 \%] \) Write the final answer of the torque due to force \( \mathrm{Fg} \) (include the sign).