One end of a nylon rope of length 4.5 m and diameter 6 mm is fixed to a tree limb. A monkey weighing 100 N jumps to catch the free end and stays there. Find the elongation of the rope and the corresponding change in the diameter. Young modulus of nylon =`4.8xx10^11Nm^(-2)` and poisson ratio of nylon =`0.2`.

Explanation

To solve the problem step by step, we will calculate the elongation of the nylon rope and the corresponding change in diameter when the monkey jumps and hangs on the rope.

### Step 1: Identify the Given Data
- Length of the nylon rope (L) = 4.5 m
- Diameter of the nylon rope (d) = 6 mm = 6 x 10^(-3) m
- Weight of the monkey (W) = 100 N
- Young's modulus of nylon (E) = 4.8 x 10^(11) N/m²
- Poisson's ratio of nylon (μ) = 0.2
...