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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The periodic time also increased when the distances between the masses added to system reduced. In the process, you will gain experience in plotting and fitting suspensoon data.
Then step 3 was repeated but with different values of L. To conclude You will cover simple harmonic motion in the Foundations of Physics module.
What are the physical dimensions of the left hand side of Equation 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. What must the value of the power of m be – i. To what power does this quantity have to be raised? Below is a tabular 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.
Radius of each bored hole. 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.
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 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 inertia for the same body.
Starting from Equation 1express the logarithm of T in terms of the logarithms of A, z, x, m and t. This rectangular bar contains holes equidistant from each other and two extra with equal masses of 1. It bitilar important to note that in most of this practical we will consider 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.
The length of usspension wire L was exepriment fixed at a value and the time taken was recorded for 20 oscillations at varying distances xbetween the two 1. Precautionary methods were in place to keep the masses at a very comfortable position so as to avoid slip or fall which could in-turn cause harm to our feet. Do not start taking these measurements yet — you first need to sort out several details. Then, plot the logarithm of the period against the logarithm of the length using Excel.
Dimensional analysis is a technique used both to check the validity of equations and to find relationship between physical quantities. Find the period of oscillation as a function of the length of the bar, keeping z and x constant.
Preparation The international system experient units is known as SI units, and is based on the seven units listed in Table 1.
Now determine the powers of z and x, i.
Read the entire script; familiarise yourself with the objectives of this experiment and the skills required; and write a brief plan in your lab book of what you will be doing, task by task. This is 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. Ready to Start A bifilar suspension pendulum is one in which two bi filaments experimrnt support a rod. In addition an enclosed-type measuring tape and weight balance were also used for the experiment. Analysis of changes in the Period of a Pendulum. Remember to include error bars in this plot. Radius of each added mass. The moment of inertia calculated analytically is 0.
A diagram on the arrangement of the apparatus used is illustrated below: This is done zuspension suspending two parallel cords of equal length through the object suspenzion. As bifialr, use Excel to plot straight-line graphs and determine slopes. 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.
Measure the period of oscillation suspensiom the two long rods made of different materials do NOT change any other parameters.
The Bifilar Pendulum
AM 18 — Homework assignment 2: The general approach for calculating the moment inertia of any type sjspension body about any axis on the body is given as: Mass of the bar m. It is important that the oscillations are about the vertical axis; setting the pendulum in another mode of oscillation will lead to incorrect results. 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 bar was then tilted through a very small angle about the vertical axis and time taken for 20 oscillations of the bar, was recorded. Consider the equation that describes a simple pendulum. The Bifilar Pendulum – durham physics laboratory guide. The seven base units of the SI system.
Moment of inertia values. Nonetheless, a description of its angular motion is enumerated below. What is the relation that now exists between the powers a, b, and e to balance dimensions after introducing the dimension of time to the correct power?
The experiment is done such that the oscillation was not dampened by carefully tilting the bar before release for oscillations.
The bifilar suspension is a technique used to determine the moment of inertia of any type of object about any point on the object.