Final answer:
The smallest force applied at point B that creates the same moment about point D is the smallest force among the five forces.
Step-by-step explanation:
To determine the smallest force applied at point B that creates the same moment about point D, we need to find the force that will create a torque equivalent to the torque created by the other forces. The torque is calculated by multiplying the force and the perpendicular distance from the force to the point of rotation. In this case, the torque is given by the equation:
T = r * F * sin(theta)
Since the magnitudes of the forces at points A, C, and D are equal, the perpendicular distances are the same. Therefore, the force at point B that creates the same torque about point D is the smallest force among the five forces.