K 9 Input: Force F(t) M has mass m с Ground D Ground The figure above shows schematically a translational+rotational sys
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K 9 Input: Force F(t) M has mass m с Ground D Ground The figure above shows schematically a translational+rotational sys
K 9 Input: Force F(t) M has mass m с Ground D Ground The figure above shows schematically a translational+rotational system defined by mass M and the disk with mass m and radius R, and a connecting spring with elasticity K. We note that the disk rotates about point D. The inertia J is defined with regard to point D. The system is driven by force F(t) (input) as shown. The output variables are (t) and X(t). The EOM for the motion of inertia J about point Dis 0 J*+(2R) K0–2RKy = 0 = O J*+(2R) K0–2RKy = F(t) = *+2KO, – 2 Kr =0 J* 7+2R²KO-2RKY=0 = J*7+2R'KO-2 RKr=-F(t)
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