Objective: To write a program to solve the ODE that represents the equation of motion of a simple pendulum with damping and create animation. Schematic sketch of simple pendulum:     Simple pendulum ODE:    `(d^2theta)/dt^2+b/m*(d theta)/dt+g/l*sintheta=0`       where       `theta`=…

Objective: To write a code in MATLAB to optimise the stalagmite function and find the global maxima of the function. And Understand the process of GA. Theory: Introduction to Optimization: The field of optimization has evolved significantly over the past few decades. Several new theoretical, algorithmic, and computational…

Aim: To plot a P-V diagram of an Otto cycle and find the thermal efficiency by using Matlab Tool. Formulae: Swept Volume (`Vswept``: `pi/4*d^2*L` clearance volume (`Vc`): `(Vs)/(gamma-1)` compression Ratio (`r`)= `(V2)/(V1)` Thermal Efficiency of an engine (`eta``o`): `1-1/(r)^(gamma-1)` Adiabatic process:`pv^gamma=c`…

Aim:  To simulate the forward kinematics of a 2R Robotic Arm using Matlab tool. Theory: Robotic Arm: Robotic Arm is made up of mechanical linkages, which is programable to work in the required manner. The links are joined in such a way that to create rotational and translatory motion. The behaviour of the robot changes…