How Do You Calculate the Acceleration of a Board on Rolling Tubes?

[costas]

Homework Statement

Plank of mass M = 8 kgr is installed on the same two tubes (very small
thickness) radius R and mass m = 2 kgr. Initially the system property. A horizontal
force F = 40 N applied to the board and the tubes rolled without sliding (Ic = mR^2).
When the board shifted s = 2m on the ground calculate:

a. the speed of the board
b. the acceleration of the board
c. the friction between board and the tubes
d. the friction between tubes and floor

The Attempt at a Solution

Ι have found the speed of the board but i don't know how to find the acceleration.

 

[tiny-tim]

Welcome to PF!

Hi costas! Welcome to PF!

Ι have found the speed of the board but i don't know how to find the acceleration.

If you have found v as a function of s, then obviously you know how to get dv/ds, and you can then get dv/dt by using the chain rule