Question

after the force has been applied to both bars for a time t1, is the angular momentum of bar 1 with holes larger than, smaller than, or the same as the angular momentum of bar 2 without holes

Answer 1

The angular momentum of bar 1 with holes after the force has been applied for a time t1 will be smaller than the angular momentum of bar 2 without holes.

Step-by-step explanation:

Angular momentum is directly proportional to the moment of inertia, and the moment of inertia of bar 1 with holes is smaller compared to bar 2 without holes. When the moment of inertia is smaller, the angular momentum is also smaller, given that the angular velocity remains constant.

Hence, the angular momentum of bar 1 with holes after the force has been applied for a time t1 will be smaller than the angular momentum of bar 2 without holes.

For example, if we consider the moment of inertia as the resistance to change in angular motion, removing material (creating holes) reduces the resistance and therefore decreases the moment of inertia, resulting in a smaller angular momentum.