A uniform chain of mass M and length L is held verticallyi in such a way that its lower end just touches the horizontal floor. The chain is released from rest in this position. Any portion that strikes the floor comes to rest. Assuming that the chain does not form a heap on the floor, calculate the force exerted by it on the floor when a length x has reached the floor.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the System
We have a uniform chain of mass \( M \) and length \( L \) that is held vertically with its lower end just touching the floor. When released, the chain falls and any portion that strikes the floor comes to rest.

### Step 2: Define the Variables
Let:
- \( x \) = length of the chain that has reached the floor.
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