- #31
minitorpedo
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and doesn't the force from friction need to be factored in too?
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SUMMARY
The discussion focuses on the mechanics of spring behavior when a spring is cut into two identical parts. Initially, a 14-coil spring stretches 0.160 m under a load. When cut into two 7-coil springs, each spring experiences a doubled spring constant, resulting in a stretch of 0.08 m per spring, which is incorrect. The correct stretch for each spring is 0.04 m, as the force is shared equally between the two springs. The conversation also touches on the application of Newton's laws and the effects of friction in a related problem involving blocks and springs.
PREREQUISITES- Understanding of Hooke's Law (F = -kx)
- Knowledge of spring constants and their relationship to coil numbers
- Familiarity with Newton's laws of motion
- Basic principles of friction and its effects on motion
- Study the relationship between spring constants and coil numbers in detail
- Learn about the application of Newton's laws in multi-body systems
- Explore the effects of kinetic and static friction in mechanical systems
- Investigate advanced spring dynamics and energy storage in springs
Students studying physics, particularly those focusing on mechanics, engineers working with spring systems, and anyone interested in the practical applications of Hooke's Law and friction in real-world scenarios.
- #32
Hootenanny
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Argh! Dammit, I knew there was something that I'd left out, couldn't figure out what though!minitorpedo said:
You need to factor in the kinetic friction between the lower block and the table;F_{applied}-F_{spring}-F_{friction} = 0
Please accept my apologies, long day. I guess I should go settle down and nice single malt and the West Wing
- #33
minitorpedo
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haha, its ok, so its F_applied = Fspring+Ffriction
F spring is what we found, and Ffriction is mgu?
F spring is what we found, and Ffriction is mgu?
- #34
Hootenanny
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Yes you're correct. However, you should note that m is the combined mass of both blocks (i.e. 15kg + 30kg). Do you understand why?minitorpedo said:
- #35
minitorpedo
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yes, i got it right. Thank you so much! i see that ur quote is from seneca, I am guessing that's Seneca High School in the lenape regional district, becasue I am from lenape. well once again thank u
- #36
Hootenanny
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No problem, it was my pleasure, again I apologies for my fatal errorminitorpedo said:
. Actually, its from a first century philosopher called Seneca the younger, whom perhaps the High School was named after.Similar threads
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