Part 2: Graphical Analysis of Data Un=0·004 Un= 0.000 For many spring-mass systems, the amount a spring stretches when it suspends a mass is proportional to the amount of mass supported by the spring. This is called Hooke's law. We will test that here. Directions: Suspend a hanger on a spring and record the position of the bottom of the hanger. Add a known mass to the hanger and record the position of the hanger and calculate the displacement of the spring. WATCH SIG. FIGS.! 37.2cm 15.03 25.04 35.06 45.07 65.12 85.171 105.11 110.31 115.36 Initial Position of Hanger: Mass (grams) 5.0 Table 4-Mass vs. Displacement Position (cm) 37.8 391 40.4 48.4 511 51.9 Displacement Mass/Position (cm) (grams/cm) 0.5 1.9 ३.२ ५.५ 5.6 8.4 13.9 14.7 15.3 7.9 7.8 8.0 8.0 2.8 7.60 2.56 7.50 7.60 / Displacement Analysis 1. Plot mass of spring versus displacement of spring (y vs. x). Perform a fit using y=mx+b and correctly report the slope and y-intercept. Copy and paste the graph below. Don't forget a figure caption. Slope= y-intercept=
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
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20.01
Part 2: Graphical Analysis of Data
For many spring-mass systems, the amount a spring stretches when it suspends a mass is proportional to the
amount of mass supported by the spring. This is called Hooke's law. We will test that here.
Un -0.004
Directions: Suspend a hanger on a spring and record the position of the bottom of the hanger. Add a known
mass to the hanger and record the position of the hanger and calculate the displacement of the spring.
WATCH SIG. FIGS.!
FORE
15.03
25.04
35.06
Mass
(grams)
5
Initial Position of Hanger: 37.2cm
Table 4- Mass vs. Displacement
45.07.
65.12
85.171
105.111
110.31
115.361
Position (cm)
37-8
391
40.4
41.6
42.8
95.6
48.4
511
31.9
Displacement Mass/Position
(cm)
0.5
1.9
३.२
५.५
5.6
8.4
13.9
14.7
15.3
y-intercept=_
(grams/cm)
B
7.9
CS Scanned with CamScanner
SD:
un= 0.0004
7.8
8.0
8.0
2.8
7.60
2.56
7.50
7.60
Analysis
1. Plot mass of spring versus displacement of spring (y vs. x). Perform a fit using y=mx+b and correctly
report the slope and y-intercept. Copy and paste the graph below. Don't forget a figure caption.
Slope=
Displacement](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7aa7f844-e0ae-47d2-8d06-fbc16e2cc765%2F736ad4d2-2954-47c3-86bb-a605cdc4bf1b%2Fery07q_processed.jpeg&w=3840&q=75)
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