The mechanical system shown in Figure P5.49(a) is used as part of the unity feedback system shown
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The mechanical system shown in Figure P5.49(a) is used as part of the unity feedback system shown in Figure P5.49(b). Find the values of M and D to yield 20% overshoot and 2 seconds settling time.
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+ eal) Motor N1 = 10 D N2 = 20 Radius = 2 m J= 1 kg-m? Ideal gear 1:1 For the motor: Ja = 1 kg-m2 Da = 1 N-m-s/rad Ra = 12 Kh = 1 V-s/rad K = 1 N-m/A fv = 1 N-s/m (a) Motor & load R(s) + E(s) Eg(s) X(s) 500 Gear (b) FIGURE P5.49 a. Motor and load; b. motor and load in feedback system
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