In the spring$-$loaded pendulum system shown below, the rope is $\backslash ($ K$=0\backslash )).$

Script $\backslash (\{\}^\{0\}\backslash )$

$```$

X $($m$)$ mass of the pendulum

x $($g$)$ gravitational force

$*(1)$ distance of the pendulum from the wall

X $($a$)$ distance from the spring's attachment point to the wall

X $($k$)$ spring constant

X $($theta$)$ pendulun swing angle

$\%($theta$\_$ddot$)$ second derivative of theta

x Symbolic definition of parameters

syms mf g l a k theta theta$\_$ddot

X Write down the elements in the motion equations one by one $($J: moment of inertia of the pendulum's end weight, T: Torque$).$

X The friction between the air and the end weight is B$=0,$ and also the elasticity of the suspension and the rope is K$=0.$

J $=$ 'fill$\_$here';

T $=$ 'fill$\_$here';

X write the linearized equation for small values of Theta

X In the following format: $(\text{'}$Fill this in$\text{'})*$ theta$\_$ddot $+(\text{'}$Fill this in$\text{'})*$ theta $==0$

equation $=$ 'Fill here similar to the given format above $($line $20)\text{'}$;

$//1691895-$question$-1-$mass$-$spring$-$damper

$```$