Question

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 = 4.8 x 10¹¹ N m^-2 and Poisson ratio of nylon = 0.2.

• A. 3.3 x 10^-6 m, 8.8 x 10^-9 m
• B. 3.3 x 10^-5 m, 8.8 x 10^-10 m
• C. 3.3 x 10^-5 m, 8.8 x 10^-9 m
• D. 3.3 x 10^-6 m, 8.8 x 10^-10 m

Answer 1

The correct option is C

3.3 x 10^-5 m, 8.8 x 10^-9 m

As the monkey stays in equilibrium, the tension in the rope equals the weight of the monkey.

Hence,