A 5400 kg railcar hits a bumper (a spring) at 1.4 m/s, and the spring compresses by 0.12 m. Assume no damping. Find k = N/m help (numbers) Hint: Solve the differential equation leaving k as unknown. The compression of the spring is the maximum displacement. It is easiest if you assume that 0 displacement is where the railcar is just touching the bumper. How far does the spring compress when a 7000 kg railcar hits the spring at the same speed? m help (numbers) If the spring would break if it compresses further than 0.29 m, what is the maximum mass of a railcar that can hit it at 1.4 m/s? kg help (numbers) What is the maximum mass of a railcar that can hit the spring without breaking at 2.8 m/s? kg help (numbers) Book: Section 2.4 of Notes on Diffy Qs
A 5400 kg railcar hits a bumper (a spring) at 1.4 m/s, and the spring compresses by 0.12 m. Assume no damping. Find k = N/m help (numbers) Hint: Solve the differential equation leaving k as unknown. The compression of the spring is the maximum displacement. It is easiest if you assume that 0 displacement is where the railcar is just touching the bumper. How far does the spring compress when a 7000 kg railcar hits the spring at the same speed? m help (numbers) If the spring would break if it compresses further than 0.29 m, what is the maximum mass of a railcar that can hit it at 1.4 m/s? kg help (numbers) What is the maximum mass of a railcar that can hit the spring without breaking at 2.8 m/s? kg help (numbers) Book: Section 2.4 of Notes on Diffy Qs
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Transcribed Image Text:A 5400 kg railcar hits a bumper (a spring) at 1.4 m/s, and the spring compresses by 0.12 m.
Assume no damping.
Find k = N/m help (numbers)
Hint: Solve the differential equation leaving k as unknown. The compression of the spring is
the maximum displacement. It is easiest if you assume that 0 displacement is where the
railcar is just touching the bumper.
How far does the spring compress when a 7000 kg railcar hits the spring at the same
speed?
m help (numbers)
If the spring would break if it compresses further than 0.29 m, what is the maximum mass of
a railcar that can hit it at 1.4 m/s?
kg help (numbers)
What is the maximum mass of a railcar that can hit the spring without breaking at 2.8 m/s?
kg help (numbers)
Book: Section 2.4 of Notes on Diffy Qs
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