Levers

Levers of Small Rotation

Given a lever with a free end and a fixed end, as well as two forces that want to balance each other.

We can take a moment about the pivot points to relate the forces applied to the lever and its lengths.

Another type of problem we can see
If we have a force f_a at point A, what is the force applied at another point that causes the same displacement.

For small angles
Vertical displacement (y):
$y=l_A\theta$
This yields the following ratio:
$\frac{y_B}{y_B}=\frac{l_A}{l_B}$ This was deduced from the practice problems (HW4)

This information is useful in questions where you need to Find the equivalent spring

• This information could also be useful for questions where you need to find the placement of springs such that they have the same spring constant

Equivalent Mass

We can use kinetic energy to calculate the |Equivalent Mass