= A. (a) Determine the 87% time for the 2nd order system given as:15 [d’Q(t) / dt?] +12 [dQ(t) / dt] +9 Q(t) = 11, assum

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A A Determine The 87 Time For The 2nd Order System Given As 15 D Q T Dt 12 Dq T Dt 9 Q T 11 Assum 1 (194.89 KiB) Viewed 33 times

= A. (a) Determine the 87% time for the 2nd order system given as:15 [d’Q(t) / dt?] +12 [dQ(t) / dt] +9 Q(t) = 11, assuming initial conditions Q (0) = 7.5, dQ (0)/dt = 0? (b) Find the natural frequency, time constant, damping ratio and ringing frequency of the system? B. Two strain gauges having gauge factor of 2.05 are mounted on both side of a rectangular steel bar as shown in Fig. 1. The Young's module of the steel bar is 29.8 x 106 psi. The bar is 15 inch long, 2.8 inch wide and 4.5 inch high, and us subjected to a tensile force of 21,300 lb. and a bending force of 3,520 lb. on the tip of the bar. Determine the resistance change of each strain gauge if the resistance was 12092 in the absence loads. YA t. 2 4.5 X b 21,30016 3529