The cart impacts the safety barrier with speed vo = 3.30 m/s and is brought to a stop by the nest of nonlinear springs which provide a deceleration a = -k1x - k2x°, where x is the amount of spring deflection from the undeformed position and k1 and k2 are positive constants. If the maximum spring deflection is 440 mm and the velocity at half-maximum deflection is 3.04 m/s, determine the values for the constants k1 and k2. Undeformed position Vo Answers: k1 = i s2 k2 = i m2s-2

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The cart impacts the safety barrier with speed vo = 3.30 m/s and is brought to a stop by the nest of nonlinear springs which provide a
deceleration a = -k1x - k2x°, where x is the amount of spring deflection from the undeformed position and k1 and k2 are positive
constants. If the maximum spring deflection is 440 mm and the velocity at half-maximum deflection is 3.04 m/s, determine the
values for the constants k1 and k2.
Undeformed position
Vo
Answers:
k1
i
s2
k2 =
i
m2s-2
Transcribed Image Text:The cart impacts the safety barrier with speed vo = 3.30 m/s and is brought to a stop by the nest of nonlinear springs which provide a deceleration a = -k1x - k2x°, where x is the amount of spring deflection from the undeformed position and k1 and k2 are positive constants. If the maximum spring deflection is 440 mm and the velocity at half-maximum deflection is 3.04 m/s, determine the values for the constants k1 and k2. Undeformed position Vo Answers: k1 i s2 k2 = i m2s-2
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