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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Chapter 11 The Age of Imperialism. Therefore, Moment of inertia of the bar, I is. Measurement suspenison from the rule and the bifioar 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. Record distance D in cm, which should initially be about 60cm.
Calculate the time for one oscillation T. The values of a and the power b can be found by the method you have used see full theory below. All these and lots more provide the avenue for determining the radius of gyration and the moment of inertia. Use your stop-watch to record the time it takes the lower ruler to complete ten oscillations 10T. All measurements and data recorded were collated for experimental analysis. Suspenskon readings encompasses the distance between the wires used for the suspension, the length of the wires, the time for the required number of oscillations, the distance between the bifjlar introduced into the experiment, and so on.
Do not tie the threads too tightly as you will need to vary the distance D during the experiment. Set up the above apparatus with ssuspension lengths of thread of equal lengths approx. Distance between the wires, b. Bending of a beam. Note the there are 15 holes bored, hence its introduction in equation 8. Math The Bifilar Suspension advertisement.
Thickness of the bar. The experiment is done such that the oscillation was not dampened by carefully tilting suspeneion bar before release for oscillations. The equation of the angular motion is: The moment of inertia determined using the analytical approach was approximately equal to the value determined from test 2 in table 2 above. A uniform rectangular section bar is suspended from the pendulum support frame by two fine parallel cords as in Figure.
The periodic time significantly increased when the length of the wires also go increased. What is the basic assumption that is based on assuming a small angle of oscillation? Length of bar l.
Measure the gradient, m and calculate the y-axis intercept, c of your graph. Principle of moments experiment – science. In addition an enclosed-type measuring tape and weight balance were also used for the experiment. Chucks are also in place to alter length of suspended wires.
Where Io is the moment of inertia of suspenaion bored holes. Cambridge Technicals in Engineering Maximum Power. Posted by JohnWell Academy at Where Mo is the mass of the hole bored, Ro is the radius of each hole bored and X is the distance from each hole on either side to the centre suspensikn the rectangular bar. Radius of each bored hole.
The Bifilar Suspension
Estimate the percentage uncertainties in: Mass of the bar m. This is done by suspending two parallel cords of equal length through the object examined. Mass of each added mass. With the bar suspended by the wires, the length L was adjusted to a bifilag extent and then distance, bbetween the wires was measured. Additional table 4 extrapolated from table 2.
Equation 4 aforementioned above can be modified to: Tabulate your results and include two extra columns showing the logarithms of both T and D You should label these columns as follows: This also provides another approach to the determination of the moment of inertia of the body. Precautionary methods were in place to keep the masses at a very comfortable position so as to avoid slip or fall which could in-turn cause harm to our feet.
Repeat the above for seven more different values of D. The periodic time also increased when the distances between the masses added to system reduced. From this, the periodic time was also calculated.
Nonetheless, a description of its angular motion is enumerated below. Newer Post Older Post Home. Then step 3 was repeated but with different values of L. Since the rectangular bar has bored holes within it, therefore its moment of inertia is.
Ssuspension is a tabular representation of the final value of the moment of inertia determined from the analytical approach, the graphical approach and a selected value of the moment of inertia from test 2 in table 2. Value from test 2 in table 2. Outline an experiment to investigate the effect, if any, of changing the vertical distance between the rulers.
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.