Question

Collagen is a very stiff fibrous protein with a failure strain of 8% to 10%. In a tensile test a cylindrically shaped piece of collagen is stretched by a force that increases linearly from 0 to 3.0*10^-2N. The length and radius of the collagen are 2.25 cm and 0.095 cm repectively, and Young's modulus is 3.1*10^6 N/m^2.

i) What is the stress, strin and elongation of the collagen when the applied force is 2.5*10^-2 N?

ii) If the stretching obeys Hooke's law, what is the spring constant k for the collagen?

iii) How much work id done by the variable force that strecthes the collagen

Answer 1

I) i) Given applied force on collagen fibre is Fa = 2.5*10^-2 N/m^2, length = 2.25 cm, radius = 0.095 cm