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faoltaem
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Homework Statement
Q 1. A spider with a mass of 0.26 g hangs vertically by one of its threads. The thread has a Young’s modulus of 4.7 x 10[tex]^9[/tex] N/m2 and a radius of 9.8 x 10[tex]^- ^6[/tex] m.
a) What is the fractional increase in the thread’s length caused by the spider?
b) Suppose a 76 kg person hangs vertically from a nylon rope (Young ’s modulus of 3.7 x 10[tex]^9[/tex] N/m2). What radius must the rope have if its fractional increase in length is to be the same as that of the spider’s thread?
Homework Equations
[tex]F = Y (\frac{A_o}{L_o}) \Delta L [/tex]
The Attempt at a Solution
This is the only equation that i know for this. I realize that the area that i need to solve this problem using this equation is the cross sectional area so, is it possible to work this out with this information as i don't have the cross sectional area and i can't use [tex]A = \pi r^2[/tex] because the radius that I've been given is for the length of the string itself.