1. In general, what pattern do you notice between the force due to the gravity of the masses and the displacement of the spring? 2. What is the physical meaning of the slope? 3. Using the slope for each spring, what would be the force required to stretch the spring 0.10 m? 4. Using the slope for each spring, what would be the amount of stretch with a 500 g mass hanging on the spring?

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter1: Introduction To Statics
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Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
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1. In general, what pattern do you notice between the force due to the gravity of the masses and the displacement of the spring? 2. What is the physical meaning of the slope? 3. Using the slope for each spring, what would be the force required to stretch the spring 0.10 m? 4. Using the slope for each spring, what would be the amount of stretch with a 500 g mass hanging on the spring? Ps: pls refer to the graph below
4:53
11.Increase tne spring strengtn by tnree tniCK marks on tne spring strengnt scaie.
12 Danent steps 7-9.
3 of 5e table, record the mass in grams (you'll have to convert to kilograms to calculate the
weight, record the stretch in centimeters and convert to meters).
small
Mass (g)
50 g
100 g
150 g
200 g
250 g
300 g
Stretch (cm)
8
16
24
Stretch (m)
0.08
0.16
Weight (N)
490
980
1470
1960
0.24
33
0.33
41
0.41
2450
49
0.49
2940
medium
Mass (g)
Stretch (cm)
Stretch (m)
Weight (N)
490
50 g
100 g
150 g
200 g
250 g
300 g
0.05
11
0.11
980
16
0.16
1470
22
0.22
1960
27
32
0.27
0.32
2450
2940
Large
Mass (g)
50 g
100 g
150 g
200 g
250 g
300 g
Stretch (cm)
Stretch (m)
Weight (N)
490
980
1470
1960
4
0.04
0.09
0.13
0.18
13
18
22
0.22
2450
27
0.27
2940
ANALYSIS:
1. Open Excel or any other graphing utility, copy your Stretch (in m) and Weight (in
newtons) into Excel.
2. Highlight your six x-y data pairs ( x for stretch and y for weight)
3. Insert a Scatter plot (one without lines)
4. On the graph, be sure to have chart title, axes title with units
5. Right click on one data point and add a trendline. Put equation on the graph (slope).
Small Spring Streght
4000
3000
y5932.6x+24.223.
2000
1000
0.1
02
0.3
0.4
0.5
0.6
Stretch (n)
A cdn.fbsbx.com
Weight (N)
Transcribed Image Text:4:53 11.Increase tne spring strengtn by tnree tniCK marks on tne spring strengnt scaie. 12 Danent steps 7-9. 3 of 5e table, record the mass in grams (you'll have to convert to kilograms to calculate the weight, record the stretch in centimeters and convert to meters). small Mass (g) 50 g 100 g 150 g 200 g 250 g 300 g Stretch (cm) 8 16 24 Stretch (m) 0.08 0.16 Weight (N) 490 980 1470 1960 0.24 33 0.33 41 0.41 2450 49 0.49 2940 medium Mass (g) Stretch (cm) Stretch (m) Weight (N) 490 50 g 100 g 150 g 200 g 250 g 300 g 0.05 11 0.11 980 16 0.16 1470 22 0.22 1960 27 32 0.27 0.32 2450 2940 Large Mass (g) 50 g 100 g 150 g 200 g 250 g 300 g Stretch (cm) Stretch (m) Weight (N) 490 980 1470 1960 4 0.04 0.09 0.13 0.18 13 18 22 0.22 2450 27 0.27 2940 ANALYSIS: 1. Open Excel or any other graphing utility, copy your Stretch (in m) and Weight (in newtons) into Excel. 2. Highlight your six x-y data pairs ( x for stretch and y for weight) 3. Insert a Scatter plot (one without lines) 4. On the graph, be sure to have chart title, axes title with units 5. Right click on one data point and add a trendline. Put equation on the graph (slope). Small Spring Streght 4000 3000 y5932.6x+24.223. 2000 1000 0.1 02 0.3 0.4 0.5 0.6 Stretch (n) A cdn.fbsbx.com Weight (N)
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