The discussion revolves around a physics problem involving two solid spheres, one with mass 'm' and the other with mass '2m', colliding and resulting in one sphere executing oblique projectile motion before transitioning to pure rolling. The key equations discussed include momentum conservation, the relationship between linear and angular velocities during pure rolling, and the effects of friction. The participants highlight confusion regarding the application of impulse and force, particularly in calculating the time taken for pure rolling after the sphere reaches the ground.
PREREQUISITESStudents and educators in physics, particularly those focusing on mechanics, collision dynamics, and motion analysis. This discussion is beneficial for anyone seeking to deepen their understanding of rolling motion and projectile trajectories in collision scenarios.
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.vishnu 73 said:ok say we pull it slowly then what happens
There are several impossibilities in the specification of this question. I would not waste any time on it.neilparker62 said: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.