A solid cylinder of mass 8 kg is rolling perfectly down an inclined plane of inclination 30. Calculate the force of friction between the cylinder and inclined plane and acceleration of the cylinder down the inclined plane.

Explanation

To solve the problem of a solid cylinder rolling down an inclined plane, we will follow these steps:

### Step 1: Identify the forces acting on the cylinder
The forces acting on the cylinder are:
- The gravitational force (weight) \( W = mg \) acting downwards.
- The normal force \( N \) acting perpendicular to the inclined plane.
- The frictional force \( F \) acting up the incline, opposing the motion.

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