Problem statementSolution video |

**DISCUSSION THREAD**

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**DISCUSSION**

**Four-step plan**

**Step 1: FBD**

Draw *individual* free-body diagrams for the plate and cart.

**Step 2: Kinetics - Newton/Euler**

Write down the Newton/Euler equations for the plate and the cart. Note that there are no fixed points observed for the plate; therefore, you need to use a moment equation of the plate about the plate's center of mass.

* Step 3: Kinematics*Use the rigid body kinematics equations to relate the acceleration of the cart to the acceleration of the plate's center of mass through the angular acceleration of the plate.

**Step 4: Solve**

Solve your equations from Steps 3 and 4 for the angular acceleration of the plate and the acceleration of the cart.