Homework (Due on 9/11/25, 23:59) Instructions A. Say your total workings and drawings clearly. B. Post your homework as a pdf. The homework could furthermore be typed, written digitally or by arrangement of pen and paper. Raise out make certain that that that the orientation of your submitted homework is upright. C. You may exercise numerical instrument equivalent to MATLAB for this homework. Then yet again, it be a must to sketch the basis locus manually and no longer generate it by arrangement of MATLAB or other instrument. This root locus sketch could furthermore be completed by arrangement of pen and paper, or digitally. (a) Resolve 1 shows instruments 1 utilizing instruments 2 and a cable drum, where instruments 2 and the cable drum fragment the same rotating shaft. Gear 1, instruments 2 and the cable drum like a radius of 3r, 5r and 2r, respectively. The moment of inertia of medication 1 is J whereas the combined moment of inertia of medication 2 and the cable drum is 4J. Because the cable drum rotates, it’ll also hoist up a weight of mass M. The total angular and linear displacements of the parts are proven in Resolve 1. The rotary damping coefficient of medication 1 is c. The combined rotary damping coefficient of medication 2 and the drum is 2c. The linear damping coefficient of the mass is c. To actuate this arrangement, now we like mounted a motor at instruments 1 and the torque supplied by the motor is given as. Take into accout the weight of the mass and focal level on zero initial stipulations to secure the block plot of the draw where the displacement x is the output. Remark ℒ(τ) = T(s). (6 marks) (b) Resolve and describe if the draw is stable for output x . (3 marks) Fig. 1. A hoisting draw, where a motor torque of is generated at instruments 1 to rob the mass. Procedure the basis locus for the solidarity feedback draw proven in Fig. 2 by answering the total questions below. Fig. 2. A solidarity feedback draw. (a) Title the total initiating and ending factors of the locus, including the infinity zeroes (if appropriate). (3 marks) (b) Acquire the total arrival angles. (2 marks) (c) Acquire the total departure angles. (2 marks) (d) Acquire the total spoil-in and spoil-out factors (if appropriate). (4 marks) (e) Manually sketch the basis locus. (5 marks) Write My Assignment Hire a Skilled Essay & Assignment Author for polishing off your Academic Assessments Native Singapore Writers Team 100% Plagiarism-Free Essay Absolute top Satisfaction Rate Free Revision On-Time Supply
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