Momentum -- pure rolling and trajectory physics problem

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Homework Help Overview

The problem involves two solid spheres of different masses colliding and subsequently moving in projectile motion and rolling. The original poster describes a scenario where one sphere comes to rest after the collision while the other continues its motion, eventually transitioning from projectile motion to pure rolling after hitting the ground.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the initial momentum calculations and the direction of motion for the spheres. There are questions about the correctness of the provided diagram and assumptions regarding the motion of the spheres post-collision.
  • Some participants explore the implications of energy conservation and the transition from sliding to rolling motion, while others express confusion about the application of impulse and force in their calculations.
  • There are inquiries into the vertical and horizontal components of motion and how they relate to the overall problem, with some participants questioning the assumptions made about the forces acting on the spheres during the collision and subsequent motion.

Discussion Status

The discussion is ongoing, with participants attempting to clarify their understanding of the physics involved. Some have offered guidance on the dimensional analysis of impulse and force, while others are exploring the conditions necessary for rolling motion to occur. There is no explicit consensus yet, as participants are still working through their interpretations and calculations.

Contextual Notes

Participants note potential confusion arising from the problem statement and the provided diagram, which may not accurately represent the scenario. There are also mentions of varying normal forces during the impact and the need for clarity on the height and velocities involved in the motion.

  • #61
vishnu 73 said:
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.
 
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  • #62
ok thanks helped a lot that was all the doubts i had thanks once again
 
  • #63
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.
 
  • #64
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.
There are several impossibilities in the specification of this question. I would not waste any time on it.
 

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