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Unformatted text preview: ECE 493 HW #0 Version 1.00 January 19, 2011 Spring 2011 Univ. of Illinois Due Thu, Jan. 25 Prof. Allen Topic of this homework: Evaluation exercises; Not graded. Deliverables: You best attempt at the questions. If you dont know, just say so. Im looking for your collective baseline. It is not in your best interest to answer questions you dont understand (e.g., dont copy stuff from Wikipedia). 1. (a) Integrate the equation F = ma where F is the force, acceler- ation a = dv/dt is the rate of change of the velocity v ( t ), and m is the mass. Solution: F ( t ) = m dv dt it follows that integraldisplay dv = 1 m integraldisplay F ( t ) dt. Justify the above procedures and clean up the argument. (b) If F ( t ) = ( t ) then the velocity is a step function at t=0 v ( t ) = 1 m integraldisplay ( t ) /mdt = u ( t ) . (c) What is the displacement x ( t ) if v dx/dt ? (d) What if F ( t ) = sin( cx- t )? Find F x =?...
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This note was uploaded on 03/28/2011 for the course ECE ECE 493 taught by Professor Jontb.allen during the Spring '11 term at University of Illinois at Urbana–Champaign.
- Spring '11