A uniform ladder of mass 10 kg leans against a smooth vertical wall making an angle of `53^0` with it. The other end rests on a rough horizontal floor. Find the normal force and the frictional force that the floor exerts on the ladder

Explanation

To solve the problem of the uniform ladder leaning against a smooth vertical wall, we will follow these steps:

### Step 1: Identify the Forces Acting on the Ladder
1. **Weight (W)**: The weight of the ladder acts downwards at its center of mass. Since the mass of the ladder is 10 kg, the weight is given by:
\[ W = mg = 10 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 98 \, \text{N} \]
2. **Normal Force (N2)**: The normal force exerted by the ground acts upwards at the base of the ladder.
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