# Science:Math Exam Resources/Courses/MATH110/April 2013/Question 08

MATH110 April 2013
Other MATH110 Exams

### Question 08

In mechanics, a force exerted on a steel rod is called stress, and denoted by σ. The deformation of the rod due to this stress is called strain, and denoted ε. Stress and strain are related by the Ramberg-Osgood equation

${\displaystyle \displaystyle \epsilon =a\sigma +b\sigma ^{n}}$

where a, b and n are constants.

Suppose the stress applied to a steel rod increases at a constant rate of R. Determine the rate at which the strain is increasing when the stress is equal to σ0.