Section $01$: Theory

The figure below shows a simple Atwood machine setup. If $m_a>m_b,$ once $m_a$ is released both masses will move. Boxes represented in dashed lines represent their final location. Throughout

this lab, we will assume pulleys and the string are massless.

Q$1.$ Draw the Free Body Diagrams and apply Newton's second law for each mass. Assume $m_a$ would move at an acceleration $\text{'}a\text{'}$

$m_a=>$

$m_b=>$

Q$2.$ Solve the two equations from the previous question and show that the magnitude of the acceleration is given by:

$a=\frac{g(m_a-m_b)}{(m_a+m_b)}$

Section $02$: Constant Total Mass

Set the mass of block $1$ to $1\mathrm{.}1$ kg and the mass of block $2$ to $0\mathrm{.}9$ kg $.$ Record these values in Table $01.$

Click on the play button to start the simulation.

Record the value of the acceleration given to you in the top left corner of the simulation Note: This simulation assumes $g=10$ Ons' ${?}^{\text{'}}.$

Click on the reset button.

Repeat steps $1-4$ by increasing the mass of block $1$ by $0\mathrm{.}1$ kg and decreasing the mass of block $2$ by $0\mathrm{.}1$ kg for each run. Note that the total mass of the system is $2$ kg for all runs.

For the last run, make $m_1=2kg,$ and $m_2=0kg$

Table $1$

$\backslash$table$[[$Run$,\frac{m_1}{k}g,\frac{m_2}{k}g,\frac{m_1-m_2}{k}g,\frac{a}{m}{s}^{-2}$