A homogeneous rod of length L is acted upon by two forces `F_(1) and F_(2)` applied to its ends and directed opposite to each other. With what force F will the rod be stretched at the cross section at a distance l from the end where `F_(1)` is applied?

Explanation

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the System
We have a homogeneous rod of length \( L \) with two forces \( F_1 \) and \( F_2 \) applied at its ends in opposite directions. We need to find the force \( F \) at a cross-section located at a distance \( l \) from the end where \( F_1 \) is applied.

### Step 2: Identify the Net Force
The net force acting on the rod can be expressed as:
\[
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