Acceleration of Plank & Sphere with Constant Force F on Masses m1 & m2

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Homework Help Overview

The problem involves a plank of mass m1 with a sphere of mass m2 placed on it, both resting on a smooth horizontal surface. A constant horizontal force F is applied to the plank, and the question concerns the accelerations of both the plank and the sphere, assuming no sliding occurs between them.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the plank and the sphere, considering the implications of rolling without slipping. Some suggest using Newton's second law or the work-energy theorem to analyze the motion.

Discussion Status

The discussion is ongoing, with participants expressing varying levels of understanding. Some have attempted to clarify the problem setup, while others are seeking guidance on how to approach the solution. There is no explicit consensus yet.

Contextual Notes

There is some ambiguity regarding the definitions of the masses and the nature of the forces involved, as well as the assumption that the sphere rolls without slipping.

sachin123
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A plank of mass m1 with a uniform mass m2 placed on it rests on a smooth horizontal floor.A constant horizontal force F is applied to the plank.With what accelerations will plank and center of sphere move if there is no sliding between plank and sphere?(with respect to ground)
 
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Attempt at solution?
 
I have no clue
 
sachin123 said:
A plank of mass m1 with a uniform mass m2 placed on it rests on a smooth horizontal floor.A constant horizontal force F is applied to the plank.With what accelerations will plank and center of sphere move if there is no sliding between plank and sphere?(with respect to ground)

(I assume the mass m2 is the sphere?)

The sphere will roll, so give letters to the displacement of the plank and the angular displacement of the sphere, and either use Newton's second law or use work done and the work-energy theorem.

Show us how far you get.
 

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