2 3333 consider the following dc motorgear system

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (33.33%) Consider the following DC motor/gear system where Ra=armature resistance ia= armature current if =constant field current ea(t)= applied voltage eb(t)=back emf ω1=angular velocity of motor shaft θ1 , θ2 = angular displacement of motor shaft (gear 1) and gear 2 respectively. T = Torque generated by the motor J1 , J2 = moment of inertia of the rotor and the load respectively. n1 , n2 = number of teeth of gears 1 and 2 respectively. (a) Neglect the effects of friction, show that the equation of motion for the gearbox (within the D dashed box) has the form J eqω1 = T , and find the equivalent J eq . See text Example 3-12 (b) Treat the rotor/gearbox/load (within the dashed box) as an equivalent moment of inertia J eq , derive the transfer function between the output θ2 and the input ea. See text Example A-4-9 [3] (33.33%) For the following circuit, e(t ) = 12 volts, R2 R3 = = 2 , and CR3 = 1 . Find e A (t ) R1 R1 and e B (t ) when the switch is suddenly closed. See also textbook pages 142 and 143 for other methods. e...
View Full Document

This note was uploaded on 10/15/2012 for the course ME 3015 taught by Professor Ueda during the Spring '08 term at Georgia Tech.

Ask a homework question - tutors are online