• Optimization of shaking force and shaking moment using mathematical modeling in MATLAB and ADAMS simulation. • Studied the effect of projectile mass, counterweight and pivot height on the range of the projectile. • Modelled and simulated the trebuchet using ADAMS. • Mathematical analysis and plotting of resulting graphs using MATLAB • Analysis of structure and material in ANSYS. • Optimization of the projectile mass to be launched with respect to the counter weight used. • Calculation of shaking force and shaking moment using mathematical modeling and ADAMS simulation • The effect of counterweight, projectile mass and height of pivot on the range of projectile through graphical plots • Analysis of the hinge forces and the hinge torques and the projectile velocity’s X-component and Y-component were studied through graphical plots. • The shaking torque comes out to be negligible and the shaking force is a considerable amount so we have to attach a counterweight to minimise the shaking force.