= 2/36 The cart impacts the safety barrier with speed 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 deflec- tion from the undeformed position and k₁ and k₂ are positive constants. If the maximum spring deflec- tion is 475 mm and the velocity at half-maximum deflection is 2.85 m/s, determine the values and cor- responding units for the constants k₁ and k₂.

= 2/36 The cart impacts the safety barrier with speed 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 deflec- tion from the undeformed position and k₁ and k₂ are positive constants. If the maximum spring deflec- tion is 475 mm and the velocity at half-maximum deflection is 2.85 m/s, determine the values and cor- responding units for the constants k₁ and k₂.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 14CQ: With the use of a phase shift, the position of an object may be modeled as a cosine or sine...

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