Prelab $11$: Simple Harmonic Motion

$3$

Name: $q,$

Define simple harmonic motion. What conditions must be met? $(20$ pts $)$

What physical phenomenon does the relationship $T=2\sqrt[\phantom{2}]{\frac{m}{k}}$ describe? $(20$ pts $)$

What physical phenomenon does the relationship $T=2\sqrt[\phantom{2}]{\frac{L}{g}}$ describe? $(20$ pts $)$

The following data were collected for Part $1$ of the lab procedure. Complete the table. The force is due to the gravitational force. All distances are measured from the bottom of the hanger to the top of the stool. You should ignore the initial weight of the hanger. Note that $x$ is the change from initial position, $x_f-x_0,$ not the change from the previous position, $x_2-x_1.(40$ pts $)$

$\backslash$table$[[$Mass $($g$),$Height $(cm),x(m),$Force $($N$)],[0,57\mathrm{.}5,0,0],[100,46\mathrm{.}5,,],[200,36\mathrm{.}5,,],[300,25\mathrm{.}5,,],[400,15\mathrm{.}5,,],[500,4\mathrm{.}5,,]]$