A uniformly tapering conical wire is made from a material of Young’s modulus Y and has a normal, unextended length L. The radii, at the upper and lower ends of this conical wire, have values R and 3R, respectively. The upper end of the wire is fixed to a rigid support and a mass M is suspended from its lower end. The equilibrium extended length, of this wire, would equal :
As we learned in
Young Modulus -
The ratio of normal stress to longitudinal strain
it denoted by Y
- wherein
F - applied force
A - Area
- Change in length
l - original length
Now,
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