Hooke's Law: Difference between revisions
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'''Hooke's law''' is a principle that states that some force F needed to compress or extend a spring by some distance s is directly proportional to that distance. | '''Hooke's law''' is a principle that states that some force F needed to compress or extend a spring by some distance s is directly proportional to that distance. | ||
==History== | |||
Hooke's law is named after the 17th century British physicist [[Robert Hooke]]. Hooke first publicly 'stated' the law in 1660, initially concealing it in the Latin anagram "ceiiinosssttuv," which represented the phrase ''Ut tensio, sic vis'' — "As the extension, so the force." However, this solution was not published until 1678. | |||
Hooke's equation also applies to many other situations where some elastic body is being deformed, and the ball-spring model is often used as the basis for many contact interactions. | |||
===A Mathematical Model=== | ===A Mathematical Model=== | ||
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How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript] | How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript] | ||
== | ==Problem Set== | ||
A few sample problem sets and their solutions. | A few sample problem sets and their solutions. | ||
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#How is it connected to your major? | #How is it connected to your major? | ||
#Is there an interesting industrial application? | #Is there an interesting industrial application? | ||
== See also == | == See also == | ||
Revision as of 18:43, 27 November 2015
This resource page addresses Hooke's Law. (Claimed by brapsas3)
The Main Idea
Hooke's law is a principle that states that some force F needed to compress or extend a spring by some distance s is directly proportional to that distance.
History
Hooke's law is named after the 17th century British physicist Robert Hooke. Hooke first publicly 'stated' the law in 1660, initially concealing it in the Latin anagram "ceiiinosssttuv," which represented the phrase Ut tensio, sic vis — "As the extension, so the force." However, this solution was not published until 1678.
Hooke's equation also applies to many other situations where some elastic body is being deformed, and the ball-spring model is often used as the basis for many contact interactions.
A Mathematical Model
This system can be expressed as F = ks, where k is some constant factor that is characteristic of the spring.
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Problem Set
A few sample problem sets and their solutions.
Simple
QUESTION:
What is the force required to stretch a spring whose constant value is 100 N/m by an amount of 0.50 m?
SOLUTION:
Using the formula F=ks solve the question
F=force(N)
k=force constant(N/m)
s=stretch or compression(m)
F=(100)(0.50) F=50 N
Middling
Difficult
Connectedness
- How is this topic connected to something that you are interested in?
- How is it connected to your major?
- Is there an interesting industrial application?
See also
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?
Further reading
Encyclopedia Brittanica: Hooke's Law
External links
Doodle Science provides a brief run through of Hooke's Law.
An alternate explanation of Hooke's Law with a sample problem set.
References
This section contains the the references you used while writing this page