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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In addition an enclosed-type measuring tape and weight balance were also used for the experiment. The length L was further adjusted and the time taken for another 20 oscillations was recorded. Radius of each bored hole. From this, the periodic time was also calculated. Therefore, Moment of inertia of the bar, I is.
Estimate the percentage uncertainties in: Calculate the time for one oscillation T. Then the values obtained from experiment will be compared with the value obtained analytically, using the geometry and dimensions of the beam. Record distance D in cm, which should initially be about 60cm.
The Bifilar Suspension
In this situation the length suuspension the wires are kept constant and the distances between the two equal masses are varied. The periodic time significantly increased when the length of the wires also go increased. 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. The equation of the angular motion is: Cambridge Technicals in Engineering Maximum Power.
The rectangular bar was then detached from the apparatus arrangement and taken to weight balance in order to determine the mass of the bar.
This rectangular bar contains holes suspenion from each other and two extra with equal masses of 1. Tabulate your results and include two extra columns showing the logarithms of both T and D You should label these columns as follows: Reaction Time Lab Ruler Drop. Do not tie the threads too tightly as you will need to vary the distance D during the experiment.
From equation 10 above. 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 of the rectangular bar. Use your stop-watch to record the time it takes the lower ruler to complete ten oscillations 10T.
Then step 3 was repeated but with different values wuspension L.
Value from test 2 in table 2. Applications of digital signal processing to beam instrumentation. All these and lots more provide the avenue for determining the radius of gyration and the moment of inertia. 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 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.
practical physics: experiment BIFILAR SUSPENSION
The apparatus used for this experiment consists of a uniform rectangular drop bar suspended by fine wires assumed to have negligible weight contribution to the system.
Set up the above apparatus with two lengths of thread of equal lengths approx. Additional table 4 extrapolated from table 2.
However, Introduction of the two equal masses into the bifilar suspension system can gives rise to a modification of its susepnsion and the equation of the angular motion. These readings encompasses the distance between the wires used for the suspension, the bicilar of the wires, the time for the required number of oscillations, the distance between the masses introduced into the experiment, and so on.
Math The Bifilar Suspension advertisement. The bar was usspension tilted through a very small angle about the vertical axis and time taken for 20 oscillations of the bar, was recorded.
Sunday, 26 June experiment The experiment is done such that the oscillation was not dampened by carefully tilting the bar before release for oscillations. This is done by suspending two parallel cords of equal length through the object examined. Equation 4 aforementioned above can be modified to: This also provides another approach to the determination of the moment of inertia of the body.
The general approach for calculating the moment inertia of any type of body about any axis on the body is given as: Since the rectangular bar has bored holes within it, therefore its moment of inertia is.
All measurements and data recorded were collated for experimental analysis. Posted by JohnWell Academy at The suspension may also be used to determine the radius of gyration of any body.