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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This rectangular bar contains holes equidistant from each other and two extra with equal masses of 1.
Remember to include error bars in this plot. Although we have now found all the exponents, we cannot yet accurately describe the period of the pendulum since we still do not know the dimensionless constant A. AM 18 — Homework assignment 2: The periodic time also increased when the distances between the masses added to system reduced. For each set of parameters x, z, l, m you should take a minimum of four measurements of the period and calculate the mean, the standard deviation and the standard error.
From this, the periodic time was also calculated.
It is important to note that in most of this practical we will zuspension the situation where the strings hang vertically, parallel to each other, rather than the situation shown in the diagram where the strings hang in oblique. With the bar suspended by the wires, the length L was adjusted to a convenient extent and then distance, bsyspension the wires was measured. Of course, the mass of the bar will vary, but we know that this should not affect the period of oscillation. Measure the period of oscillation of the two long rods made of different materials do NOT change any other parameters.
Since the rectangular bar has bored holes within it, therefore its moment of inertia is. Pressure is a force F per unit area A. In most of this practical, the lengths x and y are to be equal, contrary to what is indicated in the figure. A schematic expfriment this arrangement is shown in Figure 1. Do your measurements support your deduction that the period of oscillation is independent of mass?
The Bifilar Pendulum
The equation of the angular motion is: The seven base units of the SI system. You will set up an equation giving the period of oscillation of a complex pendulum, using dimensional analysis to ensure that the equation is dimensionally correct. Nonetheless, a description of its angular motion is enumerated below. Apart from the radian, all other units in Physics are derived from these basic building blocks. You will then determine experimentally the relevant exponents in the proposed esperiment, taking multiple, repeated measurements and doing a statistical analysis of the data.
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 suspnesion for the same body. Additional table 4 extrapolated from table 2.
Radius of each bored hole. Dimensional analysis is a technique used both to check the validity of equations and to find relationship between physical quantities. This topic, and many others related to pendulums can be found in most undergraduate text books. 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.
Do not start taking these measurements yet — you first need to sort out several details. The bifilar suspension is a technique used to determine the moment of inertia of any type of object about any point on the object. For instance, since the force acting on an object is equal the mass of the object multiplied by its acceleration, the physical dimensions of a force must be that of a mass multiplied by an acceleration.
When you have found a consistent set of values for a, b, d and e, determine the value of the constant A by measuring the period accurately for a particular set of values of z, x and l. 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.
Density of the bar steel bar. Equation 4 aforementioned above can be modified to: 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. Period of a pendulum. However, Introduction of the two equal masses into the bifilar suspension system can gives rise to a modification of its mechanism and the equation of the angular motion.
practical physics: experiment BIFILAR SUSPENSION
Copy the values of the period and its error into your lab book. To what power does this quantity have to be raised? All these and lots more provide the avenue for determining the radius of gyration and the moment of inertia. Ready to Start A bifilar suspension pendulum is one suspensio 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.
Thickness of the bar.
Newer Post Older Post Home. Experiment The objective here is to find the value of the dimensionless constant A and the individual values of the powers of z, x and l, which the above analysis does not yield.
Radius of each added mass. Solutions for HW The Bifilar Pendulum – durham physics laboratory guide. What other physical quantity would it be reasonable to introduce on the right hand side so that the dimension of time is involved. This experimrnt called the auxiliary mass method but for this experiment, our analysis would be on just the generic bifilar suspension approach. The rectangular bar was then detached from the apparatus arrangement and taken to weight balance in order to determine the mass of the bar.