A uniform ladder of length 3.25 m and weight 250 N is placed against a smooth vertical wall with its lower end 1.25 m from the wall. If coefficient of friction between the ladder and the floor is 0.3, then, find the frictional force acting on the ladder at the point of contact between ladder and floor.

Explanation

To solve the problem of finding the frictional force acting on a ladder leaning against a smooth wall, we will follow these steps:

### Step 1: Understand the System
We have a uniform ladder of length \( L = 3.25 \, \text{m} \) and weight \( W = 250 \, \text{N} \). The ladder is placed against a smooth vertical wall, with its lower end \( d = 1.25 \, \text{m} \) away from the wall. The coefficient of friction between the ladder and the floor is \( \mu = 0.3 \).

### Step 2: Identify Forces Acting on the Ladder
1. **Weight of the Ladder (W)**: Acts downward at the center of the ladder.
2. **Normal Force from the Ground (N1)**: Acts upward at the base of the ladder.
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