In this project, we will be developing the primary components

of a compact telescopic boom mini$-$crane. These mini$-$cranes

offer a robust and space$-$efficient solution for precise and

secure load positioning in civil engineering and various

industrial settings, particularly when faced with restricted

access and working conditions. This specific crane is outfitted

with an electric motor$-$driven winch, designed for the lifting

and pulling of heavy loads.

The crane's lifting mechanism comprises three telescopic

booms nested within each other, capable of extending up to a

predetermined ratio of their individual lengths. To support

this mechanism, a hydraulic piston$-$cylinder arrangement is

positioned at Link $1$ on the main frame of the crane,

specifically at point D$.$ The hydraulic piston$-$cylinder

mechanism situated between links $1$ and $2$ serves to adjust the

working angle $(\backslash$theta $)$ of the crane.

Activation of the pulling mechanism is facilitated by an

electric motor connected to the winch's drum through a chain

drive. The rope bearing the load is assumed to be positioned

in the middle of the drum. Given that the weights of the links

are considered negligible in comparison to the loads to be

lifted, the only significant force acting on the system is the

weight being raised by the crane. Additionally, it is important

to note that the operating temperature of the system is

maintained at $25\backslash$deg C$.$

The system should be designed to operate in a horizontal

position for the telescopic boom.

The system should be designed to operate in a