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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What are the physical dimensions of the right hand side of Equation 1? The moment of inertia calculated analytically is 0. To conclude You will cover simple harmonic motion in the Foundations of Physics ecperiment. All these and lots more provide the avenue for determining the radius of gyration and the moment of inertia.
Do not start taking these measurements yet — you first need to sort out several details. The length L was further adjusted and the time taken for another 20 oscillations was recorded.
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. A schematic of this arrangement is shown in Figure 1.
How many swings will you time in order to obtain the period? Skills Sessions The Bifilar Pendulum 4.
Although we have now found all the exponents, we cannot yet supension describe the period of the pendulum since we still do not know the dimensionless constant A.
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. Therefore, Moment of inertia of the bar, I is. The bar must be suspended symmetrically in a horizontal position by two bfiilar of equal length.
Expdriment is a supsension 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. Exploration If you have reached this point before the end of the lab session then you could usefully consider the case when the suspension filaments are no longer vertical. Solutions for HW 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.
Documents Flashcards Grammar checker. 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 suspsnsion is expressed as.
Ready to Start A bifilar suspension pendulum is one in which two bi filaments filar support a rod. You will set up an equation giving the supension of oscillation of a complex pendulum, using dimensional analysis to ensure that the equation is dimensionally correct.
Starting from Equation 1express the logarithm of T in terms of the logarithms of A, z, x, m and t. Data at various x and at a fixed L i.
Additional table 4 extrapolated from table 2. The moment of inertia determined from suspenson 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 bifliar in the increment of the moment of inertia and also unavoidable human errors caused a variation in their values.
Dimensional analysis is a technique used both to check the validity of equations and to find relationship between physical quantities. Once again, remember to show the errors bars on your graph.
To determine the moment of inertia of a horizontal rectangular drop bar about its center of mass using the bifilar suspension technique.
Period of a pendulum. If this bar is suspended symmetrically in the horizontal plane by two strings of equal length and set to swing about a vertical axis through its centre, the period of the swing may depend upon some, or all of the following quantities that define the system: Chucks are also in place to alter length of suspended wires.
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. This rectangular bar contains holes equidistant from each other and two extra with equal masses of 1.
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. In this situation the length of the wires suwpension kept constant and the distances between the two equal masses are varied.
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. However, Introduction of the two equal masses into the suspensiom suspension system can gives rise to a modification of its mechanism and the equation of the angular motion.