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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In addition, the moment of inertia can be further determined by graphical representation from data collated in the experiment.

## Bifilar suspension

Analysis suzpension changes in the Period of a Pendulum. Mass of each added mass. 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. What are the physical dimensions of the left hand side of Equation 1? Of course, the mass of the bar will vary, but we know that this should not affect the period of oscillation.

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bifilag Now determine the powers of z and x, i. 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 suspensiion between the masses introduced into the experiment, and so on. 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.

Physical quantities with different dimensions can be multiplied, the dimensions of a product being the product of the dimensions. The length of the wire L was then fixed at a value and the time taken was recorded for 20 oscillations at varying distances xbetween the two 1. In this situation the length of the wires are kept constant and the distances between the two equal masses are varied.

Value from test 2 in table 2. What is the value of the exponent e in Equation 1?

Once again, remember to show the errors bars on your graph. Derived units can look rather complicated when expressed in terms of the base units; for convenience, they are often given special names and symbols. 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.

Equation 4 aforementioned above can be modified to: AM 18 — Homework assignment 2: Moment of inertia values. What is the relation that now exists between bifilzr powers a, b, and e to balance dimensions after introducing the dimension of time to the correct power? 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.

Consider the equation that describes a simple pendulum.

Density of the bar steel bar. Chucks are also in place to alter length of suspended wires. However, the approach taken for this experiment is to determine the moment of inertia of bifillar drop by suspending the cords through the mass centre of bodies, obtaining an angular suspenison about the vertical axis through the centre of mass by a sensibly small angle.

Therefore, Moment of inertia of the bar, I is. Nonetheless, a description of its angular motion is enumerated below. 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.

With the bar suspended by the wires, the length L was adjusted to a convenient extent and then distance, bbetween the wires was measured. 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.

The internal diameters of the holes, the thickness of the rectangular were also measured. Copy the values of the period and its error into your lab book. Preparation The international system of units is known as SI units, and is based on the seven units listed in Table 1. The rectangular bar was then detached from the apparatus arrangement and taken to weight balance in order to determine the mass of the bar. The bar must be suspended symmetrically in a horizontal position by two threads of equal length.

Do your measurements support your deduction that the period of oscillation is independent of mass?

### The Bifilar Pendulum

Find the period of oscillation as a function of the suspenxion of the bar, keeping z and x constant. To determine the moment of inertia of a horizontal rectangular drop bar about its center of mass using the bifilar suspension technique. To this effect, it would expdriment useful to draw up suitable tables before you start collecting data.

This rectangular bar contains holes equidistant from each other and two extra with equal masses of 1.

From equation 10 above. 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. How will you extract the unknown powers experimentally?