Two masses `M_1 and M_2` are connected by a light rod and the system is slipping down a rough incline of angle `theta` with the horizontal. The friction coefficient at both the contacts is `mu`. Find the acceleration of the system, and the force by the rod on one of the blocks.

Explanation

To solve the problem of two masses \( M_1 \) and \( M_2 \) connected by a light rod slipping down a rough incline, we will follow these steps:

### Step 1: Draw the Free Body Diagram
Draw the incline and label the angle \( \theta \). Mark the two masses \( M_1 \) and \( M_2 \) on the incline. Identify the forces acting on each mass: the gravitational force, the normal force, and the frictional force.

### Step 2: Identify Forces Acting on Each Mass
For mass \( M_1 \):
- Gravitational force down the incline: \( F_{g1} = M_1 g \sin \theta \)
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