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Specifically need help with 3.3.
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![O Problem 3 (Logan 1.2 Problem 5 p. 42) Consider the nonlinear spring-mass system IVP mr(t)--k(z(t))3-ar(t) t20 x(0)0 where z is the displacement, -ar is a linear damping term, and -kr3 is a nonlinear restoring force. Initially, displacement is zero and mass m is given an impulse I 3.1 [5 points] Determine the dimensions of the constants I, a, and k 3.2 [10 points] Recast the problem into dimensionless form by selecting dimensionless variables τ-t/te, χ- scale tc is yet to be determined az/I, where the time 3.3 [10 points] In the special case that the mass is very small [compared to something else with dimensions of mass], choose an appropriate time scale te and find the correct dimensionless model. (A small dimensionless parameter should occur on the terms involving the mass in the original model).](https://homework-api-assets-production.s3.ap-southeast-2.amazonaws.com/uploads/store/505095841/160246673060aac63401d32c2664d793ff03192f51.png)
