ENG252: Dynamics - The Natural Frequency of the Empty Trifilar Rig - Engineering Assignment Help

Assignment Task:

Tasks (in class)
1    Measure the natural frequency of the empty Trifilar rig (the whole group)
1.a    Practice setting the bare disk into torsional (twisting) vibrations. Take care that the disk rotates with minimum swaying from side to side.  
1.b    Using the stopwatch provided, measure the natural frequency of torsional oscillations of the bare disk suspended by the three filaments.  Repeat the experiment five times to determine the scatter in results.
1.c    Enter your results into first row table 1 (at end of this sheet).
2    Calculate the radius of gyration and moment of inertia of the Trifilar rig from the natural frequency (the whole group)
2.a    The equation for the natural frequency of torsional oscillation is:
    Hz
where  fn is the natural frequency of torsional vibrations, r is the radius of the pitch circle on which the filaments are fixed to the disk, k is the radius of gyration of the disk, and L is the length of a filament.  If you want to see how it is derived see Appendix 1.
2.b    Rearrange the formula in section 2.a to allow you to calculate the radius of gyration from the natural frequency.
2.c    Calculate the moment of inertia of the empty disk from the radius of gyration.
2.d    Enter your results into first row of table 1.
3    Calculate the radius of gyration and moment of inertia of the Trifilar rig with different arrangements of bolts/object (from the natural frequency) 
3.a    Repeat steps 1 and 2 to determine the radius of gyration and moment of inertia for the Trifilar rig with:
•    An object in the centre of the disk. (member A of the group)
•    Three bolts to the inner set of holes (nothing in the centre hole). (member B of the group)
•    Three bolts to the middle set of holes (nothing in the centre hole). (member C of the group)
•    Three bots to the outer set of holes (nothing in the centre hole). (member D of the group)
3.b    Enter your results into the appropriate rows of table 1.

4    Measure and Weigh
4.a    Make sure that you have filled out all the data in table 2 so you can finish the calculations out of class
 

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