With what minimum acceleration can monkey slide down a rope whose breaking strength is two third of his weight?

Explanation

To solve the problem of determining the minimum acceleration with which a monkey can slide down a rope without breaking it, we can follow these steps:

### Step 1: Understand the Forces Acting on the Monkey
The forces acting on the monkey are:
- The gravitational force (weight) acting downward, which is \( mg \).
- The tension \( T \) in the rope acting upward.

### Step 2: Identify the Breaking Strength of the Rope
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