The cart impacts the safety barrier with speed v₀ = 3.25 m/s and is brought to a stop by the nest of nonlinear springs which provide a deceleration a = −k₁x − k₂x³, where x is the amount of spring deflection from the un deformed position and k₁ and k₂ are positive constants. If the maximum spring deflection is 475 mm and the velocity at half-maximum deflection is 2.85 m/s, determine the values and corresponding units for the constants k₁ and k₂.

Transcribed Image Text:

Undeformed position Vo Problem 2/36