Final answer:
System B has the greatest angular momentum due to one of its disks having a greater radius, which results in a higher moment of inertia and therefore greater angular momentum.
Step-by-step explanation:
Comparing Angular Momentum in Two Systems
When comparing system A, which consists of two disks of radius R rotating clockwise, with system B—one disk of radius R rotating counterclockwise and another disk of radius 2R rotating clockwise, we need to consider the concept of angular momentum, which is given by L = I × ω, where I is the moment of inertia and ω is the angular velocity.
Since both systems have disks with the same mass and angular velocity, the difference comes down to the moment of inertia. For a disk, the moment of inertia is I = ½ mR2. Therefore, a disk with a larger radius will have a greater moment of inertia. In system B, one of the disks has a radius 2R, which means its moment of inertia will be greater by a factor of four (since the radius is squared in the formula), resulting in greater angular momentum for system B. Consequently, the answer is b. B.