In $[16]$: # Import the math, Python Library of mathematical functions

from math import $*$

# Assign numerical values to the theoretical model parameters adjusting them to fit your

# observations. Note that the moment of inertia and the damping terms were determined in

# the first experiment. You may need to re$-$evaluate the amplidute for this experiemnt.

$fc=0\mathrm{.}4$

$mo{m}_i$nerti $a=0\mathrm{.}009$

damping $=0\mathrm{.}08$

phase $=-1$

# Assign numerical values to experimental variables you have measured mass $=0\mathrm{.}07$ #mass of the pendulum in $kg$

length $=0\mathrm{.}45$ #length of the pendulum in meters

amplitude $=0\mathrm{.}009$ #maximum amplitude of oscillation in rad

# Assign numerical values to known variables of the theoretical model

$g=9\mathrm{.}81$ #acceleration of gravity

# Determine wc and wd

$wc=()**$

# Declare the lists to contain the tabulations acc$\_$th$($t$\_$expt$)$ and

# adiff $(t_{-}$expt$)=aloh{a}_{-}$exp$(t_{-}$expt$)-$alpha$\_$th $(t_{-}$expt$)$

alpha$\_$th$2=[]$

adiff $=[]$

# Determine the Lists acc$\_$th$($t$\_$expt$)$ and adiff$($t$\_$expt$)$

for $1$ in range $(1$en$($t$\_$expt$2))$:

alpha$\_$th$2$ append $($amplitude$*$ exp$(-t_{e}xpt2[i{]}^{**}$ damping ${)}^{**}$