Question

a weight is suspended from a steel wire of length 1.0m and cross sectional area 1.0mm². The ultimate strength of the steel is 400.0 x 10^6 N.m². What is the maximum mass that the weight can have without breaking the wire?

Answer 1

The ultimate strength of the steel is(P)= 400.0 x 10⁶ N/m²

Cross section area(A)= 1mm²=1/1000²m²

Thus total strength(F)is

$F=P\times A=4000\times10^6\times1000^{-2}=400N$ N

$F=m\times g=m\times9.81$

$400=m\times 9.81$

m=40.77kg