Final answer:
The moment about point O for two loading situations can be determined by using the parallel axis theorem to calculate moment of inertia and calculating torque to find angular acceleration.
Step-by-step explanation:
To determine the moment about point O for the two loading situations, we employ concepts in physics related to rigid body rotation and dynamics. We use the parallel axis theorem to find the moment of inertia for a compound object when the axis of rotation is not through the center of mass (CM). Specifically, the theorem states that the moment of inertia about any axis parallel to one passing through the CM is I = ICM + Md2, where ICM is the moment of inertia through the CM, M is the mass of the object, and d is the distance between the two axes.
To solve for the angular acceleration 'a', you must calculate the torque T (the same in both cases) and the moment of inertia I (greater in the second case). Torque is given by T = rF sin θ, with 'r' being the radius, 'F' the force applied, and θ the angle between force and radius vector which is 90° here, making sin θ equal to 1.
Finally, you can apply the second condition of equilibrium to find torques in rotation about a given pivot point, and use conservation of linear momentum to find the total momenta in the x and y directions, equating them to solve for unknowns.