• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

Period of a loaded Cantilever (D, DCP, CE)

Extracts from this document...

Introduction

Period of a Loaded Cantilever

Design

Aim: To investigate the relationship between the mass loaded on a cantilever and the period of oscillation of a loaded cantilever

Variables:

Independent variable: Mass loaded on a cantilever

Dependent variable: Period of oscillation of the cantilever

Control variables:

Amplitude

Maximum displacement of the end of the cantilever

Can be kept constant by measuring the amplitude of each trial

Length of the cantilever

Can be kept constant by measuring the length of the cantilever or using the same model through the experiment

Air resistance

Different width of cantilever may have different air resistance. Kept constant by using a cantilever with the same cross-sectional area or simply use the same cantilever throughout the experiment. Carry out the experiment at room air density.

Stiffness of the cantilever

Kept constant by using the same cantilever of the same material throughout the experiment

Apparatus:

1

2 Meter sticks

One Meter stick as a cantilever and the other to measuring the amplitude of oscillations

2

Masses

Masses to be loaded on the cantilever as the independent variable in this experiment

3

Stopwatch

To measure the time needed for 10 number of oscillation with different mass loaded on the cantilever

4

Tapes

To stable the masses on the meter stick so that the masses will not fall during the oscillation

5

Scissor

To cut the tapes


Method

image00.png

  1. Set up apparatus as shown in the graph.
...read more.

Middle

2.54

2.81

2.72

2.67

0.1

150.0

3.01

3.13

3.06

3.12

3.16

3.10

0.08

200.0

3.41

3.57

3.55

3.83

3.66

3.60

0.2

250.0

4.25

4.22

4.12

4.18

4.25

4.20

0.07

Mean:

0.2

The uncertainty of the measurement is taken to half of the smallest division of the measuring instrument. For example, the uncertainty is 0.05g for an electronic balance, 0.005 s for the stopwatch and 0.05cm for the meter stick.

The random uncertainty of the average time taken for 10 oscillations was found by half of the range of the repeats. Eg. Random uncertainty at of time taken at mass of 50g ± 0.05g is (2.63-1.94)/2 = 0.3 (taken to the nearest 1 sig. fig.)

Data Process

        In this experiment, it is aimed to investigate the relationship between period and the mass loaded on a cantilever. Period is time taken for one oscillation. However, in this experiment, the time is taken to 10 oscillations, therefore, I have to divided the time taken by 10. The absolute uncertainty of the time taken by the stopwatch is still ± 0.

...read more.

Conclusion

Oscillation

It was also difficult for our eyes to determine accurately the ending point of a period while the meter stick was oscillating at relatively small amplitude. To improve, the amplitude of the oscillation can be increased so that the amplitude can be measured more accurately.

Amplitude

There were random uncertainties involved in measuring the maximum amplitude of the oscillation with a meter stick. Before the oscillation, the end of the meter stick is pulled downwards with various displacements by the different weights/masses due to gravity. When oscillating, the upward and downward displacements may not be proportional, which means that meter stick is not at simple harmonic motion. The amplitude (maximum displacement) is difficult to be kept constant. For improvement, we can calculate the average amplitude by measuring the starting and ending amplitude. The amplitude should be kept constant throughout the experiment.

Bibliography

Natural Frequency and Resonance. (n.d.). Home | College of Engineering and Computer Science. Retrieved January 17, 2012, from http://www.cs.wright.edu/~jslater/SDTCOutreachWebsite/nat_frequency.htm

...read more.

This student written piece of work is one of many that can be found in our International Baccalaureate Physics section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related International Baccalaureate Physics essays

  1. This is a practical to investigate the relationship between time period for oscillations and ...

    Therefore, my hypothesis stands true. As we increase the mass attached to the spring, the time for one oscillation increases. The gradient in this case does not give any physical quantity and hence we need not find the uncertainty for the gradient.

  2. Boyle's law report (DCP, CE)

    Maximum gradient = Minimum gradient = Best-fit gradient = (0.40+0.34)/2 = 0.37 kPa-1 dm-3 � 0.03 kPa-1 dm-3 Conclusion The final graph show a linear relationship between V and and it is possible to draw a line through the origin within the uncertainty range, which suggest a inversely proportional relationship between volume and pressure of gas.

  1. Physics lab - Cantilever Beam

    Procedure: Refer to the lab sheet. Variables: Independent variable - Depression of the beam (x) Dependant Variable - The length of the beam (l)

  2. centripetal force lab (DCP, CE)

    Average time for 1 rotation/ s � 0.01s Random uncertainty � s 1st trial 2nd 3rd 4th 5th 0.050 0.70 0.78 0.74 0.77 0.73 0.74 0.02 0.100 0.58 0.52 0.54 0.60 0.60 0.57 0.02 0.150 0.52 0.48 0.54 0.47 0.50 0.50 0.01 0.200 0.48 0.47 0.45 0.41 0.48 0.46 0.01

  1. Oscillating Mass

    Timing 10 periods lowers uncertainty. Record mass-period pair values for the mass. 5. Repeat steps 2-4 for the remaining masses while making sure not to switch springs in between to keep k constant: 0.600kg, 0.800kg, 1.00kg, 1.20kg, 1.40kg, 1.60kg. Observe whether the spring is oscillating slower or faster.

  2. Telescopes - science research project.

    Moreover, the next generation set of tools will permit the astronomers to investigate the initial steps of the creation of the terrestrial system and to perceive water and biological particles in proto terrestrial plates about stars in the forming.

  1. Amplitude and period relationship

    It supported the observation of Marin Mersenne who said that the period of a pendulum changes with its amplitude and Galileo's observation was only correct for small amplitudes. In case of larger amplitudes, the period will increase with amplitude. Variables: Independent: ==> Position of the ball dropping on the side

  2. How does the sinkage depth of a tyre affect its rolling resistance ?

    Hence as the air pressure in the tire begins to fill the tire up completely the sinkage depth in the tire increases . The air pressure in the tire limits the thread from spreading out the force on the sand and hence on a surface area of the sand as

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work