labie TT 2. 3. Make the calculations to fill the empty cells in table # 2. Table # 2: Determination of the period and frequency of the simple harmonic motion Mn (g) = MT= Mh+ Msw MT Msw (g) 200 220 240 0.0240 Frequency when Msw=200 g. 1 Note: fexp = T MT (kg) t10 (s) 200 0000 4.16 6.416 226 0.0220 4.5.6 0.456 240 5.880.580 exp Texp Mh: Mass of the weight hanger Msw: Mass of added slotted weights MT: Total Mass = t10 10 Texp (s) Th=27₁ Tth (s) QUESTIONS: 1. How does the period change with increasing mass? MT K t10: Time for 10 oscillations Texp: Experimental period Tth: Theoretical period fexp: Experimental frequency π = 3.14 % dif in T

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter16: Oscillations
Section: Chapter Questions
Problem 5PQ
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How do I find the T th (s) I'm confused on it how to get the an

Figure 4. How to correctly measure the position of the bottom of the spring when the
weight hanger carries the required added masses.
M₁ (8) = 6,56
MSW
(g)
Table # 1: Determination of the spring constant K
8 = 9.80 m/s2
xo (cm) = 1, 2
Xo
MT= Mh+ Msw
MT
(8)
MT
(kg)
F=W=Mrg
F
(N)
0
50
6.6.5, 0.066.5
0.65/7
100
150
116.52 0.116.5 1.1417
166.50.1786.5 1.6317
216.2 0.2165 2.1217
250
266.55 02. 266.5 2.6/17
Average force constant Kavg
200
Force constant Ktren from the slope of the trendline
% relative difference between Kavg and Ktren
Mh: Mass of the weight hanger
Msw: Mass of added slotted weights
MT: Total Mass
W: Weight of hanger plus slotted weights
xf
(cm)
X = Xƒ- Xo
X
(cm)
X
(m)
0
0.2 0.1
2.5ch 0.025
You 0.09
3.3
4.9
6.4 55
8
K=
F(N)
x(m)
K
(N/m)
G₁3468
40.7925
0:055 38.57636364
7.2 0.072 36.97361111
201
in the graph
xo: Position of the spring's bottom (unstretched)
xf: Position of the spring's bottom (stretched)
x: Elongation of the spring
K: Force constant of the spring
Transcribed Image Text:Figure 4. How to correctly measure the position of the bottom of the spring when the weight hanger carries the required added masses. M₁ (8) = 6,56 MSW (g) Table # 1: Determination of the spring constant K 8 = 9.80 m/s2 xo (cm) = 1, 2 Xo MT= Mh+ Msw MT (8) MT (kg) F=W=Mrg F (N) 0 50 6.6.5, 0.066.5 0.65/7 100 150 116.52 0.116.5 1.1417 166.50.1786.5 1.6317 216.2 0.2165 2.1217 250 266.55 02. 266.5 2.6/17 Average force constant Kavg 200 Force constant Ktren from the slope of the trendline % relative difference between Kavg and Ktren Mh: Mass of the weight hanger Msw: Mass of added slotted weights MT: Total Mass W: Weight of hanger plus slotted weights xf (cm) X = Xƒ- Xo X (cm) X (m) 0 0.2 0.1 2.5ch 0.025 You 0.09 3.3 4.9 6.4 55 8 K= F(N) x(m) K (N/m) G₁3468 40.7925 0:055 38.57636364 7.2 0.072 36.97361111 201 in the graph xo: Position of the spring's bottom (unstretched) xf: Position of the spring's bottom (stretched) x: Elongation of the spring K: Force constant of the spring
table # 2.
3. Make the calculations to fill the empty cells in table # 2.
Table # 2: Determination of the period and frequency of the simple harmonic motion
M₁ (g) =
MT= Mh+ Msw
Мт
(g)
2:00 0200
226 0.0220
240
MT
(kg)
Msw
(g)
200
220
240
Frequency when Msw = 200 g.
1
Note: fexp
Texp
Texp
Mh: Mass of the weight hanger
Msw: Mass of added slotted weights
MT: Total Mass
t10
10
Texp
(s)
t10
(s)
4.16 6.416
0.0220 4.56 0.456
0.0240
5.880.580
QUESTIONS:
1. How does the period change with increasing mass?
M
VK
T = 27.
th
Tth
(s)
t10: Time for 10 oscillations
Texp: Experimental period
Tth: Theoretical period
fexp: Experimental frequency
tant increases?
T
π = 3.14
% dif in
T
Transcribed Image Text:table # 2. 3. Make the calculations to fill the empty cells in table # 2. Table # 2: Determination of the period and frequency of the simple harmonic motion M₁ (g) = MT= Mh+ Msw Мт (g) 2:00 0200 226 0.0220 240 MT (kg) Msw (g) 200 220 240 Frequency when Msw = 200 g. 1 Note: fexp Texp Texp Mh: Mass of the weight hanger Msw: Mass of added slotted weights MT: Total Mass t10 10 Texp (s) t10 (s) 4.16 6.416 0.0220 4.56 0.456 0.0240 5.880.580 QUESTIONS: 1. How does the period change with increasing mass? M VK T = 27. th Tth (s) t10: Time for 10 oscillations Texp: Experimental period Tth: Theoretical period fexp: Experimental frequency tant increases? T π = 3.14 % dif in T
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