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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Do not tie the threads too tightly as you will need to vary the distance D during the experiment.
The bifilar suspension is a technique used to determine the moment of inertia of any type of object about any point on the object. However, if the total time is less than 10 seconds you should record the time for 15 15T or of 20 20T oscillations.
Thickness of the bar. From this, the periodic time was also calculated. Documents Flashcards Grammar checker. 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.
Newer Post Older Post Home. Use your stop-watch to record the time it takes the lower ruler to complete ten oscillations 10T. Length of bar l. Laboratory Manual for Phys. The moment of inertia calculated analytically is 0.
In this situation the length of the wires are kept constant and the distances between the two equal masses are varied. In this case the body under investigation is bolted to the center of the suspended bar and the periodic time of the combined bar and body measured.
Density of the bar steel bar. Note the there are 15 holes bored, hence its introduction in equation 8.
The Bifilar Suspension
A primary focus of Strength of Materials are materials classified as. The experiment is done such that the oscillation was not dampened by carefully tilting the bar before release for oscillations.
A uniform rectangular section bar is suspended from the pendulum support frame by two fine parallel cords as in Figure. The equation of the angular motion is: Repeat the above for seven more different values of D. Bending of a beam. Estimate the percentage uncertainties in: Distance between the wires, b. The cords pass through the two small chucks fitted to the top frame and are secured in the bifilar bar by two similar chucks so that by loosening the chucks the cords may be dawn through and their effective susension altered.
007 The Bifilar Suspension
In addition an enclosed-type measuring tape and weight balance were also used for the experiment. All measurements and data recorded were collated for experimental analysis. 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. The internal diameters of the holes, the thickness of the rectangular were also suspensipn.
Mass of each added mass. Mass of the bar m. This rectangular bar contains holes equidistant from each other and two extra suspenzion equal masses of 1. Radius of each added mass.
Therefore, Moment of inertia of the bar, I is. What is the basic assumption that is based on assuming a small angle of oscillation? Principle of moments experiment – science. A diagram on the arrangement of the apparatus used is illustrated below: Whereby individual moments of inertia from individual differential mass value and distance X between the axis point and the object are summed up and its summations gives rise to the final moment of inertia of that body.
The suspension may susprnsion be used to determine the radius of gyration of any body. Chucks are also in place to alter length of suspended wires. Equation 4 aforementioned above can be modified to: Data at various x and at a fixed L i. Calculate the time for one oscillation T.
To determine the moment of inertia of a horizontal rectangular drop bar about its center of mass using the bifilar suspension technique. The bar was then tilted through a very small angle about the vertical axis and time taken for 20 bifilsr of the bar, was recorded. Nonetheless, a description of its angular motion is enumerated below.