A `3m` along ladder weighing `20 kg` leans on a frictionless wall. Its feet rest on the floor `1 m` from the wall. Find the rection forces of the wall and the floor.

Explanation

To solve the problem of finding the reaction forces of the wall and the floor for the ladder leaning against a frictionless wall, we will follow these steps:

### Step 1: Identify the Forces Acting on the Ladder
- The ladder has a weight \( W = mg = 20 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 196 \, \text{N} \) acting downwards at its center of mass.
- There is a normal reaction force \( N_1 \) exerted by the wall, acting horizontally towards the ladder.
- There is a normal reaction force \( N_2 \) exerted by the floor, acting vertically upwards.
- There is also a frictional force \( f \) at the base of the ladder, acting horizontally towards the wall.

...