Task

Mechanism Description:

Dimensions: You are provided with a specific set of dimensions for the

links of the Jansen Mechanism as follows:

Links L$5,$ L$6,$ and L$7$ are interconnected to form a triangular linkage. Similarly,

Links L$10,$ L$11,$ and L$12$ constitute another triangular linkage.

Input Motion: Link $2,$ the crank, rotates at a constant angular velocity

of $6\mathrm{.}283$ rad$/$s$.$

$2.$ Analytical Solution:

o Position Analysis: Employ appropriate kinematic equations to

determine the position of the mechanism's tip as a function of time.

o Velocity Analysis: Differentiate the position equations to obtain the

velocity of the tip.

o Acceleration Analysis: Differentiate the velocity equations to obtain the

acceleration of the tip.

$3.$ Graphical representation:

Plotting: Utilize suitable graphing software $($e$.$g$.,$ MATLAB, Python, or

Excel$)$ to plot the position, velocity in x$-$direction, and acceleration in x$-$direction of the tip over one complete cycle of the crank's rotation.

Visualization: Present your results in clear and concise graphs, ensuring

proper labeling of axes and units.