a ladder of length L=12 m and mass m = 45 kg leans against a slick wall (that is, there is no friction between the ladder and the wall). The ladder's upper end is at height h = 9.3 m above the pavement on which the lower end is supported (the pavement is not frictionless). The ladder's center of mass is `L//3` from the lower end, along the length of the ladder. A firefighter of mass M = 72 kg climbs the ladder until her center of mass is `L//2` from the lower end. What then are the magnitudes of the forces on the ladder from the wall and the pavement?

Explanation

To solve the problem of the ladder leaning against a slick wall with a firefighter climbing it, we will follow these steps:

### Step 1: Understand the System
We have a ladder of length \( L = 12 \, \text{m} \) and mass \( m = 45 \, \text{kg} \) leaning against a slick wall. The height of the top of the ladder from the ground is \( h = 9.3 \, \text{m} \). A firefighter of mass \( M = 72 \, \text{kg} \) climbs the ladder until her center of mass is \( L/2 \) from the lower end.

### Step 2: Determine the Geometry
Using the Pythagorean theorem, we can find the base of the ladder (\( b \)):
\[
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