Procedure: Suspend the rectangular block or (bifilar pendulum) from plane (a b) by . The experiment is repeated for various loads and the corresponding time. Skills Sessions The Bifilar Pendulum The Bifilar Pendulum Preparatory Task: Read the entire script; familiarise yourself with the objectives of this experiment and. View EXPERIMENT 7 from PHY at University of Zambia. EXPERIMENT 7 DETERMINATION OF MOMENT OF INERTIA USING THE BIFILAR SUSPENSION.
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From equation 10 above. Pressure is a force F per unit area A. Schematic of a bifilar pendulum. The apparatus used for this experiment consists of a uniform rectangular drop bar suspended by fine wires assumed to have bifolar weight contribution to the system. Then step 3 was repeated but with different values suspnsion L. Once again, remember to show the errors bars on your graph. However, physical quantities with different dimensions cannot be added to one another for instance, it does not make any sense to add a temperature to a length.
What is the relation that now exists between the powers suepension, b, and e to balance dimensions after introducing the dimension of time to the correct power? Value from test 2 in table 2. Solutions for HW As before, use Excel to plot straight-line graphs and determine slopes.
The Bifilar Pendulum
As noted above, for most of this investigation we will consider the simplified situation where x and y are equal and the suspension filaments are vertical. Moment of inertia values. In this situation the length of the wires are kept constant and the distances between the two equal masses are varied. Dimensional analysis is a technique used both to check the validity of equations and to find relationship between physical quantities.
These 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 masses introduced into xuspension experiment, and so on. The moment of inertia calculated analytically is 0. Now determine the powers of z and x, i.
For a solid object with a rectangular cross-section, the same general approach gave rise to determination of the moment of inertia about its centre of mass G and this is expressed as. In Task 3 you showed that the period of oscillation should be independent of the mass of the bar. 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.
The bar must be suspended symmetrically in a horizontal position by two threads of equal length. The periodic time significantly increased when the length of the wires also go increased. Preparation The international system of units is known as SI units, and is based on the seven units listed in Table 1. Then answer the following question in your lab book: Of course, the mass of the bar will vary, but we know that this should not affect the period of oscillation.
practical physics: experiment BIFILAR SUSPENSION
To what magnitude of angle should you limit the swings? The seven base units of the SI system. With the bar suspended by the wires, the length L was adjusted to a convenient extent and then distance, bbetween the wires was measured. Then, plot the logarithm of the period against the logarithm of the length using Excel. Ready to Start A bifilar suspension pendulum is one in which two bi filaments filar support a rod.
You must take enough readings to reach a definite conclusion about the values of the unknown powers, which you can assume to be simple fractions. Estimate the error on your determination of A. After recording your data, use an Excel spreadsheet to calculate the mean, the standard deviation and the standard error on the mean for the period of oscillation, for each length of the bar.
To this effect, it would be useful to draw up suitable tables before you start collecting data. The equation of the angular motion is: Therefore, Moment of inertia of the bar, I is. This topic, and many others related to pendulums can be found in most undergraduate text books. Radius of each bored hole. Density of the bar steel bar.