Problem statementSolution video |

**DISCUSSION THREAD**

Any questions??

**Four-step plan**

**Step 1: FBD**

Draw a free-body diagram for the disk.

**Step 2: Kinetics - Work/energy**

Write down the kinetic energy and potential energy expressions for the disk, along with the work done on the disk by non-conservative forces. Note that point C is the instant center (zero velocity point) for the disk. Because of this, you are able to write down the KE for the disk as *T _{disk} = 0.5*I_{C}ω^{2}*, if you choose to do so. The work done by

*F*is equal to

*U = Fs*where

_{A},*s*is the distance traveled by end A of the cable.

_{A}* Step 3: Kinematics*Here you need to relate the distance traveled by point O to the distance traveled by end A of the cable (these are not the same). In doing this, recall that C is the instant center of the disk as it rolls without slipping.

**Step 4: Solve**

Solve your equations from Steps 2 and 3 for the speed of point O.