A 5500 kg railcar hits a bumper (a spring) at 1.3 m/s, and the spring compresses by 0.06 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 6500 kg railcar hits the spring at the same speed? m help (numbers) If the spring would break if it compresses further than 0.26 m, what is the maximum mass of a railcar that can hit it at 1.3 m/s? kg help (numbers) What is the maximum mass of a railcar that can hit the spring without breaking at 2.6 m/s? kg help (numbers)
A 5500 kg railcar hits a bumper (a spring) at 1.3 m/s, and the spring compresses by 0.06 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 6500 kg railcar hits the spring at the same speed? m help (numbers) If the spring would break if it compresses further than 0.26 m, what is the maximum mass of a railcar that can hit it at 1.3 m/s? kg help (numbers) What is the maximum mass of a railcar that can hit the spring without breaking at 2.6 m/s? kg help (numbers)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A 5500 kg railcar hits a bumper (a spring) at 1.3 m/s, and the spring compresses by 0.06 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 6500 kg railcar hits the spring at the same speed?
m help (numbers)
If the spring would break if it compresses further than 0.26 m, what is the maximum mass of a railcar that can hit it at 1.3 m/s?
kg help (numbers)
What is the maximum mass of a railcar that can hit the spring without breaking at 2.6 m/s?
kg help (numbers)
Transcribed Image Text:Suppose a spring with spring constant 1 N/m is horizontal and has one end attached to a wall and the other end attached to a mass. You want to use the
spring to weigh items. You put the spring into motion and find the frequency to be 0.9 Hz (cycles per second). What is the mass? Assume there is no friction.
Mass =
help (units)
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