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Design Project 1
By: Justin Del Borrello
Veronica Schimph
Objective
• A possible design for a simple scale to weight objects
– Length of string AB Is 0.5 meter
– Objects with masses 0.2-2kg
– Find the Spring Constant
– Find the Corresponding Angle
What is a spring scale?
• A spring scale is any device that uses the translation of a spring by force due to weight to discover the mass of an object.
Design Concept
Finding the Spring Constant
• Hooke’s Law
𝐹 = 𝑘𝑥
• Can be derived to:
𝑘 =𝐹
𝑥
– F is the force applied
– k is the constant
The Constant for the Spring used
Spring 1 (strong)
𝑘 =𝐹
𝑥
2𝑘𝑔 ∗9.81𝑚𝑠2
0.031𝑚
𝑘 = 632.9𝑁/𝑚
Spring 2 (weak)
𝑘 =𝐹
𝑥
0.2𝑘𝑔 ∗9.81𝑚𝑠2
0.125𝑚
𝑘 = 156.8𝑁/𝑚
Mass vs. Angle (strong)
Mass (kg) Angle (degrees)
0.2 7
0.3 8
0.4 9
0.5 10
0.6 11
0.7 12
0.8 12.5
0.9 13.5
1.0 14
Mass (kg) Angle (degrees)
1.1 15
1.2 16
1.3 16.5
1.4 17
1.5 18
1.6 18.5
1.7 19
1.8 19.5
1.9 20.5
2.0 21
(Strong)
y = 0.1296x - 0.7956
0
0.5
1
1.5
2
2.5
0 5 10 15 20 25
Mas
s (k
g)
Angle (degree)
Mass vs Angle
Mass vs. Angle (weak)
Mass (kg) Angle (degrees)
0.2 27
0.3 31
0.4 37
0.5 43
0.6 47
0.7 50
0.8 53
0.9 56
1.0 59
Mass (kg) Angle (degrees)
1.1 Possible
1.2 Elastic
1.3 Limit
1.4 Pass
1.5 This
1.6 Mass
1.7 ….
1.8 ….
1.9 ….
2.0 ….
(Weak)
y = 0.0239x - 0.4727
0
0.2
0.4
0.6
0.8
1
1.2
0 10 20 30 40 50 60 70
Mas
s (k
g)
Angle (degree)
Mass vs. Angle
Mass vs. Angle (weak)
Mass (kg) Angle (degrees)
0.2 27
0.3 31
0.4 37
0.5 43
0.6 47
0.7 50
0.8 53
0.9 56
1.0 59
Mass (kg) Angle (degrees)
1.1 65
1.2 69
1.3 74
1.4 78
1.5 82
1.6 84
1.7 91
1.8 95
1.9 99
2.0 103
Elastic Limit
• Proportional limit -spring constant approaches zero
• Elastic Limit –Permanent deformation
• Failure - Spring will break
Real Life Applications
•Questions?
