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bjorn_v
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Homework Statement
I want to convert 110.0 x 10^6 N/m^2 to Newtons. How do I do this?
Reason: I have the following problem and the following question to answer:
P: A heavy mass is supported by a beam-cable system as shown in the figure. The beam is 5.000 m long with a mass of 36.00 kg. The aluminum cable is 8.000 m long with a circular cross section and a diameter of 0.8200 cm. The beam and cable are attached to the wall. A heavy mass is 400.0 kg and is hanging at a point 4.000 m
from the wall.
Q: What is the maximum mass that this system can support before the cable breaks?
(Assume the mass of the cable is negligible
Assume the cable that connects the mass to the beam does not stretch
Young's modulus for aluminum is 70.00 x 109 N/m^2
The breaking strength of aluminum is 110.0 x 106 N/m^2)
Based on this video ( ) I know how to solve the problem, except only if the units are in plain Newtons. So how do I convert them?
OR, if converting is not possible, how do I solve this problem with N/m^2?
Homework Equations
The Attempt at a Solution
[tex]T_n=T_1+T_2+T_3+T_4[/tex]
[tex]0=0-2.500*36.00*9.81-4.000*m*9.81+5*F_4[/tex]
So I want to find m.
[tex]F_4=T*\sinθ[/tex]
[tex]F_4=?*\sin(\arcsin(\frac{\sqrt{39}}{8}))[/tex]
I know that the breaking strength of aluminum is 110.0 x 106 N/m^2, but how do I convert that to Newtons so I can solve for F4?
Thanks in advance!
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