Acceleration of plank and sphere on smooth floor with constant force

[sachin123]

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)

 

[chaoseverlasting]

Attempt at solution?

 

[sachin123]

I have no clue

 

[tiny-tim]

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.