Hello! Let's answer your questions one by one:
1. The calculated moment of inertia is smaller than the true moment of inertia. The moment of inertia represents an object's resistance to rotation, and it depends on both the mass of the object and the distribution of that mass around the axis of rotation. In this case, the calculated static moment of inertia (.0202 kgm^2) is smaller than the calculated dynamic moment of inertia (.0195 kgm^2), indicating that the object's resistance to rotation is lower when it is in motion.
The reason for this difference is likely due to the fact that when the object is in motion, some of the mass is distributed further away from the rotation axis. This leads to a larger effective moment of inertia, which explains why the dynamic moment of inertia is larger than the static moment of inertia.
2. The percent difference between the static and dynamic moments of inertia is 3.6%, which is relatively small. This suggests that the two measurements are in accord with each other. The small difference could be attributed to experimental errors, such as uncertainties in the measurement process or inaccuracies in the equipment used. It's important to note that minor variations in measurements can result in small differences in percentages.
3. If the pulley has a fairly large mass, it will have an impact on the result of the experiment. Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In the case of the pulley, if its mass is significant, it will contribute to the total mass of the system, affecting the overall acceleration. This change in acceleration will influence the force being applied and may result in different experimental outcomes. Therefore, a larger mass pulley could alter the results of the experiment and potentially affect the validity of the conclusions.