# Levers, torque and the (non?) linear relationship

hlock
Homework Statement:
What is the relative force applied to the bar bend to 45 degrees?
Relevant Equations:
unknown
I'm unsure what equation to use to achieve this. My solution was to draw a scale model and measure the distance offset from the bar and how relative that was to the same length bar bent to 90 degrees.

My answer was 70.8% assuming a linear relationship between length of lever and force (is that right?). I've made the possibly incorrect assumption that if you double the length of a lever you double the force.

The answer requires a descriptive answer relating angle to force applied, so to me it doesn't appear linear (or it would be 50%?) but what is it? How best describes the relationship?

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