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lemonlimesoap
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Homework Statement
Two pans of a balance are 50cm apart. If the fulcrum is displaced by 1cm what percentage is the true weight marked up?
Homework Equations
T=rFsinθ
F=mg
The Attempt at a Solution
I solved for torque of the fulcrum in a hypothetical situation where a mass of 1g is on one end and a mass of 2g on the other
First with the fulcrum in the center making the lever arms 25cm
T=T1+T2
T=7.3575Nm
then with the displaced fulcrum by 1cm. Making the lever arms 24cm and 26cm
T=7.4556Nm
finally i just did percent error
(7.4556Nm-7.3575Nm)/7.3575Nm *100= 1.3%
I'm pretty sure this is wrong since I was just winging it.