Final answer:
The potential problems for rolling motion include insufficient friction causing sliding instead of rolling, greater distance traveled if slipping occurs, and a higher likelihood of slipping on steep inclines due to gravitational force.
Step-by-step explanation:
The potential problems for the rolling stroke method, or rolling motion, include a few key issues. If there is insufficient friction, a round object like a cylindrical can not undergo rolling motion but instead slide down an incline. Another issue is that if slipping occurs, the distance moved by the car's center of mass would be greater than if it were rolling without slipping after one complete revolution. This is because the rolling motion ideally involves both rotational and translational movement without any loss of energy due to slipping.
Moreover, on an incline, a wheel is more likely to slip if the incline is steep rather than gently sloped. This is because the component of gravitational force parallel to the slope is greater on steeper inclines, which can overcome the maximum static frictional force that allows for rolling without slipping.