Momentum -- pure rolling and trajectory physics problem

[haruspex]

ok say we pull it slowly then what happens

In that case we do not immediately know what the frictional force is. Instead, we know the relationship between the frictional force and the ball's linear acceleration, the relationship between the frictional force snd the angular acceleration, and the relationship between those two accelerations given that it continues to roll without slipping. Three equations, three unknowns.

 

[timetraveller123]

ok thanks helped a lot that was all the doubts i had thanks once again

 

[neilparker62]

If both spheres have the same radius, then I dont' see how there can be any transfer of momentum to cause 'oblique projectile motion'. It seems to me the only way this can happen is if the 1m mass actually has a larger radius than the 2m mass such that the line of collision is also 'oblique' allowing for a vertical component in the momentum transfer. The 1m mass 'jumps' when it hits the 2m mass.

 

[haruspex]

If both spheres have the same radius, then I dont' see how there can be any transfer of momentum to cause 'oblique projectile motion'. It seems to me the only way this can happen is if the 1m mass actually has a larger radius than the 2m mass such that the line of collision is also 'oblique' allowing for a vertical component in the momentum transfer. The 1m mass 'jumps' when it hits the 2m mass.

There are several impossibilities in the specification of this question. I would not waste any time on it.