SIMPLE HARMONIC MOTION:MASS ON SPRING
Project description
Hey i need you to write intro, abstract, and conclusion. also, do the all the QUESTIONS and full the messing data that is not completed. i will
attach paper explains how is the grading will be.
About Writing Lab Reports:
a)Please write lab reports as if you were performing scientific research work!
b)The lab report must be typewritten.
c)You will have to write two kinds of the lab report:
i.Some of the labs have printed data sheets with tables and questions, and you will only need to write The Abstract, The Introduction and The
Statement of Conclusion.
ii.In the second kind of the lab report, you will need to create your own tables to collect data and write your own report on what you observed.
d)Each report must contain the following components:
i.The Cover Page
The first page of the report, it is printed for each lab report at the end of the each lab in the manual.
ii.The Abstract
The abstract should be a short paragraph that is less than half of a page. The goal of the lab should be stated here and should not be a paraphrase
of the purpose given in the lab manual. Included should be what was studied, how it was studied and what the results of the experiment were.
iii.The Introduction
The introduction should 1-2 paragraphs, less than a page, depending on the lab. The students explain why what they are doing is important. They
should state was is being measured and how. They should also include the theoretical equations used in the lab. They should state what the equation
is called, if it has a name, and define each variable and constant in the equation.
iv.Data Sheets, Graphs, and/or Data Tab
Your original Data Sheet(s) with the instructors signature must be submitted. Each lab, your instructor will sign your data sheet. These sheets must
be attached to each lab report.
All data sheets from the lab manual and any plots created from other sources and anything else instructed to include. Make sure that all of your
tables are properly and reasonably annotated (have captions)! Provide explanations of what the numbers in your data sheets represent.
Each graph should be supported by a data table. Each graph has to be clean and have a title. The axes should be clearly marked and labeled.
Quantities that are plotted must have units assigned. Draw your graphs on graph paper or have it generated by a computer.
Please provide a brief error analysis section and data fits if asked to do so in lab manual. It is very important to determine how reliable your
measurements are.
v.The Questions
Answer all questions (if any). Most of the questions are labeled in the Extra section of the manual, but some are in the Procedures section.
vi.Discussion/Analysis/Conclusion
This section should be 0.5 -1 page. Students should restate the results and compare them with the theory and what they expected. Students should
relate the results back to the goal from the abstract and answer why they got their results.
Session 11-7
SIMPLE HARMONIC MOTION: MASS ON SPRING
-_-__-_-______
1) Hang the spring with the narrower tapered end at the
top This end is more tightly wound and Slightly “Stronger “WWW,”
(which means these coils have a slightly larger k) than the IMPORTANTI
wider coils at the bottom end. This design minimizes the SMALLER TAPERED
effect of the oscillating mass of the spring itself. 683082555],ng
WHEN HUNG FROM
2) a) Upper limit on mass: There is an upper limit to SUPPORT
the amount of force that can be applied until the
spring is permanently deformed. Our safe upper
limit for masses on these springs is 0.750 kg.
D) Lower limit on mass: Take a look at the
relaxed” spring lying on the desk. It is not
relaxed”; it is more like a clenched fist that would
contract to a smaller size if the coils didn‘t get in
the way. That “clench” is inherent in its 7 f. H, P
construction and not “simple”. It needs to be _ 0.100 kg :é III ;: 0. DO Lg
removed before the system can be measured. We
recommend a minimum mass of 0.100 kg for any
measurements in order to separate all the coils.
3) Limltlng energy losses: The supports for the
oscillating system should be as massive and
rigid as possible. Make sure the various parts
are tightly clamped to each other. You do not
want the support system oscillating at all,
because an oscillation in the support means lost
energy, and an unsimple system.
FIRST, the amplitude of the motion will be changed,
while keeping the spring and the mass at some
constant values.
Use at least a mass m = 0.150 kg for this part. A
a) How to make an amplltude measurement: Hold a
meter stick next to the mass at rest in its equilibrium
position. Note the reading where the bottom of the
mass is located along the meter stick. Displace the
mass downward a measured amount. This value is the
amplitude, A, at the initial time. For our purposes, we
will use the measured value of the initial starting
amplitude, A. Be careful that the amplitudes are not
too large for safety or reasonable measurement. The i:
smallest amplitude, A, might be as small as 2 cm; do mass hanger
not exceed 10-12 cm for the largest. Remember that it you use
b) Since you have to count them, be very clear about gnumsgtisehiggfifiégls mass
what motlon constltutes a complete osclllatlon
of the system; discuss it among yourselves before
beginning the measurement.
0 Ityou a stOpwatch, measure the period for a
l en W l
tgrials of OStaai‘rrEEJtthietgéfgmg three separate
I me for 10 complete
oscfllations of the system.
Experiment #1 1
The Sprlng-Mass System. Standard Model of SHM
SHM = Simple Harmonic Motion = Easily produced periodic motion
What things can be varied to change the period,
T, of your oscillating system?
In physical systems, a process of “isolating variables” is
sometimes possible. If we can identify a variable and
isolate its effect on the period, we may be able to describe
and predict its effect in similar systems.
‘s’éimafmxseasfin’ WV” ” ’ 7
rfi’e’érTect of amplitude, {WM ‘ ’ ” 7 ‘ a The strength of
Imagine pulling the mass further away from a the swing, k
equilibrium, creating a larger displacement, A. 5
Might not the mass take a longer time to return to a
Extreme v A;
‘7 g y
the equmbrium posrtion. 9og man-bp- 33_ v: 9
The effect of mass, m: U I A
Imagine putting a larger mass, m, on the qui’lLtE’PU‘Jj-
end of the spring and setting it into poslt’on
motion. Might it not take a longer time for A
the spring force to get it back to the ‘ EitFe’rfié ‘ ‘ ‘“m” ‘ ‘V‘=’0’
equilibrium position? end POSilbn
I A = AMPLITUDE of
The effect of the strenth of the sprin, k. oscilafing mass, the
Imagine usmg a delicate spring from a max-mum dsplacemem
clock with a small strength index, k. It from equilibrium
appears that such a weak spring might
not have the strength to move a given
mass as quickly as a stronger spring.
How do we go about Isolating variables experimentally?
FIRST: Change the amplitude of the motion while maintaining
everything else in the system constant. Measure how the
period changes as you vary the amplitude.
SECOND: Change the mass while keeping all other things in
the system constant. Measure how the period
changes as different masses are attached.
-v t:
THIRD: Change the spring strength, k, while keeping all
other things in the system constant. ‘- ‘7“?
1:11:
The spring has some real-world properties that must be taken into ‘ ‘ ‘ v
consideration. It is definitely not an ideal massless spring. ‘ j 3&5
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