A heavy uniform rope is held vertically and is tensioned by clamping it to a rigid support at the lower end. A wave of a certain frequency is set up at the lower end. Will the wave travel up the rope with the same speed?

Explanation

To solve the problem, we need to analyze how the wave travels through the rope and how the tension in the rope affects the wave speed.

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have a heavy uniform rope that is clamped at the lower end. This means that the lower end is fixed and cannot move. The rope is vertical, and we are interested in how a wave travels up this rope.

2. **Identifying the Forces**:
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