This identified system has an unstable pole at 1 3 . (a) utilize full state feedback and calculate the gains in order to meet a 20% overshoot and a settling time of 4 seconds. you can perform all the calculations and verify the time domain response in matlab. (b) the actual system is given by the following transfer function:

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?