Preview

Trifilar Suspension Lab Sheet

Good Essays
Open Document
Open Document
581 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Trifilar Suspension Lab Sheet
Laboratory Sheet for the Experiment

Trifilar Suspension Course (s)B58EC, B58ED–Mech. Eng. Sci. 3, 4 | Year2 | SubjectDynamics | Semester (s)1 and 2 | Laboratory TitleTrifilar Suspension |

Objective:

To calculate the polar moment of inertia of an assembly and using the result to predict the periodic time of a trifilar suspension of the assembly.

Theory:

The moment of inertia of a solid object is obtained by integrating the second moment of mass about a particular axis. The general formula for inertia is:

where Ig = inertia in kg.m2 about the mass centre m = mass in kg k = radius of gyration about mass centre in m. In order to calculate the inertia of an assembly, the local inertia Ig needs to be increased by an amount mh2. where m = local mass in kg h = the distance between parallel axis passing through the local mass centre and the mass centre for the overall assembly. The Parallel Axis Theory has to be applied to every component of the assembly. Thus

The polar moments of inertia for some standard solids are:

Cylindrical solid | | Circular tube | | Square hollow section | |

An assembly of three solid masses on a circular platform is suspended from three chains to form a trifilar suspension. For small oscillations about a vertical axis, the periodic time is related to the Moment of Inertia.

1

3

L

O

3
2
1

Ø600
2

Figure 1. Trifilar suspension

From Figure 1, the equation of motion is:

(1)

Comparing this to the standard equation (2nd order differential equation) for Simple Harmonic Motion (SHM),

(2) the frequency in radians/sec and the period T in seconds can be calculated by:

(3) and (4)

Assuming the general solution for the equation (1) is , solve the differential equation (1) to obtain equation (3) and use frequency to obtain equation (4). Show the derivation in your report.

You May Also Find These Documents Helpful

  • Satisfactory Essays

    Nt1310 Unit 6 Lab Report

    • 3292 Words
    • 14 Pages

    where T is the period of the pendulum and ωn is the natural frequency. The natural frequency can be calculated using Equation 9…

    • 3292 Words
    • 14 Pages
    Satisfactory Essays
  • Best Essays

    Nt1310 Unit 4 Lab

    • 2295 Words
    • 10 Pages

    Method of joints: In this method, free body diagrams of adjacent joints of a member are seen to check the forces acting on different members. Also, “the first joint selected must have two unknown forces and one known force” (Walker 139). The unknown forces are later solved by using ∑x = 0 and ∑y = 0 (Since the whole model is at rest, it is considered that each member in the model will be at rest too). Once the two unknown forces are found, they become known forces to other adjacent joints and are used to find other unknown forces of another member. This technique is used on all the members of the model is found.…

    • 2295 Words
    • 10 Pages
    Best Essays
  • Good Essays

    c. Calculate the instantaneous value of the angular velocity at t =5.00 s and the average angular velocity for the time interval t = 0 to t = 5.00 s.…

    • 1245 Words
    • 5 Pages
    Good Essays
  • Good Essays

    2. (Solidification) A 2m long string vibrates in the 3rd harmonic (n=3) with an amplitude of…

    • 605 Words
    • 3 Pages
    Good Essays
  • Powerful Essays

    Mass and Kinetic Energy

    • 965 Words
    • 4 Pages

    For this one, you have to do part © first… and don’t forget that ur working with a sphere, so u gotta look up the moment of inertia (I) in order to get the correct answer……

    • 965 Words
    • 4 Pages
    Powerful Essays
  • Good Essays

    Asignacion Lesson 8

    • 550 Words
    • 3 Pages

    2. Separate the three isotopes of Metallo (nuts, washers, bolts) and measure the mass of each isotope.…

    • 550 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Lab Report Chemistry Lab

    • 598 Words
    • 3 Pages

    3. Set a number of your metal sample and record the mass in the table.…

    • 598 Words
    • 3 Pages
    Good Essays
  • Better Essays

    The moment of inertia about the y-axis is found by determining the inertia of the shape and subtracting the imaginary parts as shown:…

    • 1242 Words
    • 5 Pages
    Better Essays
  • Good Essays

    To calculate the moment of inertia of an object one can imagine that the object is divided into…

    • 1320 Words
    • 4 Pages
    Good Essays
  • Better Essays

    Simulation Lab

    • 1191 Words
    • 5 Pages

    where group number was 5 and ka was found in units of Newtons per meter. These values were used to construct a mass spring system suspended from the table top with mass ma and spring ka. Another mass spring system was created with a mass…

    • 1191 Words
    • 5 Pages
    Better Essays
  • Powerful Essays

    However instead of measuring the time for 10 revolutions, the time for 20 revolutions was measured, this allowed more accurate results to be obtained. Furthermore the lengths given in the book were used as merely guidelines and not followed precisely also 50 and 100-gram masses were used.…

    • 1011 Words
    • 5 Pages
    Powerful Essays
  • Powerful Essays

    4. T J Lardner, R R Archer, Mechanics of Solids an Introduction, 1994, Mc Graw-Hill, pp. 370-375…

    • 2138 Words
    • 9 Pages
    Powerful Essays
  • Satisfactory Essays

    Bee Population

    • 489 Words
    • 2 Pages

    In assignment one I wrote about how pollinating bee populations were declining around the world and the solutions that can prevent this from happening. Addressing this issue can be very difficult. Not only are humans causing this problem but the bee population has a disease that is destroying the colonies. Currently there really isn’t a policy in place to regulate the problem but there are informal efforts that are being put into place by the federal government and other agencies. These efforts include providing millions of dollars for research to find a solution for the disease, restoring acres of land for habitat and increasing studies on the use of pesticides. I feel that most people…

    • 489 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    Nt1310 Final Exam Answers

    • 615 Words
    • 3 Pages

    a) Location of centroid for transformed section, [pic]; and corresponding centroidal moment of inertia, IX .…

    • 615 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Pendulum Experiment Essay

    • 809 Words
    • 4 Pages

    In this experiment the purpose is to study the period of the pendulum with different masses. Secondly to also study the relationship in the different lengths of the string and how it affects the period. Thirdly to find the different (time) periods in the changes in the arc size.…

    • 809 Words
    • 4 Pages
    Good Essays