Question

The length of a rod is doubled under the action of a constant force. If the initial stress is S, then what will be the final stress?​

Answer 1

Answer:

Final Stress is ST it think this is a perfect answer

Please Mark this as Brainliest Answer

@Thanks

Tejashvi Singh

D.A.V Borl

Answer 2

Given: Initial length = l, final length = 2l

          Initial stress = S

         Force is constant

To find: Final stress

Solution:

• According to Hooke's law, the force required to extend or compress the spring by some distance is proportional to that distance.
• The mathematical representation of Hooke's law is  F= -kX, where F is the force applied to the spring, X is the displacement of the spring)
• Negative value demonstrates that the displacement of the spring once it is stretched; and k is the spring constant.

Stress = force/area

Stress is the force applied per unit area. It is a measure of deformation of the material.

Area = length × height

Height remains same.

force = stress × area

Since, force remains constant,

S × l = x × 2l

x = S/2

Therefore, the final stress will be half of the initial stress which is S/2.