Use the thin rod moment inertia for the swinging rod

MECH6610 Advanced Dynamics, Spring 2022, Quiz 3 Take-Home

thickness t. h
a)Derive equilibrium equations for θ K, c

direction using the Lagrange equations. L/4 g

b)Take images of the ANSYS results, showing the graph of angle of oscillation with time. Write down the values for the dimensions, mass, spring constant and damping constant. Explain the solution methods and joints or constraints used in ANSYS to solve.

c)Take an image of the Matlab code with the plot of the angle variation with time. Be sure to have clean Matlab code that describes the problems.

Same reporting requirements as question 1.

USE A RECTANGULAR ROD INSTEAD OF CIRCULAR ROD. ANSYS HAS SOME ISSUES WITH THE SMALL CONTACT ZONE IF YOU USE CIRCULAR RODS.