This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 2.171 Quiz #1 October 18, 2006 This quiz is openbook. There are four problems, and each is worth 25 points. Problem 1 (25 points): This problem considers six transfer functions. These are H 1 ( z ) = 20( z . 95) (1) z 1 H 2 ( z ) = z 1 (2) z . 9 H 3 ( z ) = z . 9 (3) 10( z . 99) H 4 ( z ) = 10( z . 99) (4) z . 9 H 5 ( z ) = 1 2 r 1 cos 1 + r 1 2 (5) z 2 z 2 r 1 cos 1 + r 2 1 where r 1 = 0 . 995 and 1 = 0 . 1. (1 2 r 1 cos 1 + r 1 2 )( z 2 z 2 r 2 cos 2 + r 2 2 ) H 6 ( z ) = 2 2 (6) ( z 2 z 2 r 1 cos 1 + r 1 )(1 2 r 2 cos 2 + r 2 ) where r 1 = 0 . 995 and 1 = 0 . 1, as before, and r 2 = 0 . 9995 and 2 = 0 . 01. On two pages attached to the end of this exam are six step responses and six frequency response (Bode) plots. These plots are labeled I, II, III, IV, V, VI; and A, B, C, D, E, F; respectively. For each of the transfer functions above, indicate which are the corresponding step and frequency responses.responses....
View
Full
Document
This note was uploaded on 02/27/2012 for the course MECHANICAL 2.171 taught by Professor Davidtrumper during the Fall '06 term at MIT.
 Fall '06
 DavidTrumper

Click to edit the document details