ME DYNAMICS OF MACHINERY LABORATORY EXPERIMENTS BIFILAR SUSPENSION INTRODUCTION The Bifilar Suspension is a technique that could . Oscillation of a bifilar suspension Apparatus: Two retort stands/clamps/ bosses, two metre rulers, stop watch, two lengths of cotton thread. two threads. Bifilar suspension. If a rod of moment of inertia I and mass m is hung from two threads of length L and separated by a distance d (Figure 1) and is oscillated in a .
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Tabulate your results and include two extra columns showing the logarithms of both T and D You should label these columns as follows: In addition, the moment of inertia can be further determined by graphical suspensoon from data collated in the experiment. The periodic time significantly increased when the length of the wires also go increased.
Distance between the wires, b. The moment of inertia determined from the graph representation was greater than the value gotten from the analytical approach indicating that the two masses added during the experiment had a part to play in the increment of the moment of inertia and also unavoidable human errors caused a variation in their values.
With the bar suspended by the wires, the length L was adjusted to a convenient extent and then distance, bbetween the wires was measured.
Why is it important not to let the total time measurement see stage 4 fall below about 10 bifilaar This is called the auxiliary mass method but for this experiment, our analysis would be on just the generic bifilar suspension approach. The period T of a bifilar suspension is expected to be given by an equation of form: Equation 4 aforementioned above can be skspension to: Therefore, Moment of inertia of the bar, I is.
007 The Bifilar Suspension
Data at various x and at a fixed L i. From equation 10 above. Moment of inertia values. Math The Bifilar Suspension advertisement.
Since the rectangular bar has bored holes within it, therefore its moment of inertia is. The radius of gyration and moment of inertia reduced after the length of wire was increased from test 1 to test 2 but increased right after till test 4. Two small chucks are provided for attachment. The beam should oscillate in the horizontal plane only. Cambridge Technicals in Engineering Maximum Power.
Measurement taken from the rule and the weight balance was done such that the line of sight and the markings of the measuring equipments were in alignment in to reduce errors due to parallax. From the relationship between the periodic time of oscillation of the suspended bar, and the effective length of the suspension wires the radius of gyration of the suspended bar may be found and compared with die theoretical value.
Nonetheless, a description of its angular motion is enumerated below. A uniform rectangular section bar is suspended from the pendulum support frame by two fine parallel cords as in Figure.
This is done by suspending two parallel cords of equal length through the object examined. The bar was then tilted through a very small angle about the vertical axis and time taken for 20 oscillations of the bar, was recorded.
The moment of inertia determined using the analytical approach was approximately equal to the value determined from test 2 in table 2 above.
Applications of digital signal processing to beam instrumentation. The suspension may also be used to determine the radius of gyration of any body.
Radius of each added birilar. Early Middle Ages Quiz. The experiment is done such suspemsion the oscillation was not dampened by carefully tilting the bar before release for oscillations. The values of a and the power b can be found by vifilar method you have used see full theory below. Note the there are 15 holes bored, hence its introduction in equation 8.
Then the values obtained from experiment will be compared with the value obtained analytically, using the geometry and dimensions of the beam. The bifilar suspension technique offers the opportunity to determine the radius of gyration of a body by relating the readings gotten from the procedure in the techniques and relating that into the equation of angular and this invariably provides the determination of the moment of inertia for the same body.
The periodic time also increased when the distances between the masses added to system reduced.