How Does Rolling Affect the Free Body Diagram in Different Frames of Reference?

[HelloMotto]

lets say there is ball inside a bus that is accelerating. When the bus accelerates, the ball dosent slip or move, due to strong static friction.

so in Earths frame of reference, the only forces are the mg and Normal force. in the bus's frame of reference, there is a fictious force pushing the person back with mg and normal force.

Now let say there is a same scenario, except in this scenario, the ball does roll.

in this case, would the freebody diagram still remain the same for both references?

 

[jbsteele]

Yes, the free body diagram would remain the same in both references. The only difference is that in the bus's frame of reference, there would be an additional force (the fictitious force pushing the person back) acting on the ball.

 

[baba89]

In both scenarios, the free body diagram would still include the forces of gravity (mg) and the normal force. However, in the second scenario where the ball rolls, there would also be an additional force acting on the ball - the force of friction. This is because when the ball rolls, there is a force of friction between the ball and the surface of the bus that allows it to roll without slipping. Therefore, the free body diagram in the bus's frame of reference would have an additional force of friction acting on the ball. In both scenarios, the fictitious force experienced by the person in the bus's frame of reference would still be present, as it is a result of the acceleration of the bus. Overall, the free body diagram may look slightly different in the two scenarios, but the fundamental forces involved would remain the same.