Answer:
The maximum mass is 32458 kg.
Explanation:
Given that,
Diameter = 4.5 cm
Yield stress = 200 MPa
We need to calculate the mass
Using formula of stress
[tex]\sigma=\dfrac{F}{A}[/tex]
[tex]\sigma=\dfrac{mg}{\pi r^2}[/tex]
Where, m = mass
r = radius
Put the value into the formula
[tex]200\times10^{6}=\dfrac{m\times9.8}{\pi\times\dfrac{(4.5\times10^{-2})^2}{4}}[/tex]
[tex]m=\dfrac{200\times10^{6}\times\pi\times\dfrac{(4.5\times10^{-2})^2}{4}}{9.8}[/tex]
[tex]m=32458\ kg[/tex]
Hence, The maximum mass is 32458 kg.
