For the unity negative feedback system g(s) = k(s+6)/ (s + 1)(s + 2)(s + 5) it's known that the system is operating with a dominant-pole damping ratio of 0.5. design a pd controller so that the settling time is reduced by a factor of 3, compared with the uncompensated unity negative feedback system. compare the percentage overshoot and resonant frequencies of the uncompensated and compensated systems.

Afour cylinder four-stroke in-line engine has a stroke of 160mm, connecting rod length of 150mm, a reciprocating mass of 3kg and its firing order is 1-3-4-2. the spacing between cylinders is 100mm. i. show that the engine is in balance with regard to the primary inertia forces and primary 3. a and secondary inertia couples. li determine the out of balance secondary inertia force ii. propose ways of balancing this out of balance force and discuss the challenges that will arise

The thermal expansion or contraction of a given metal is a function of the f a)-density b)-initial temperature c)- temperature difference d)- linear coefficient of thermal expansion e)- final temperature f)- original length

Vibration monitoring this technique uses the noise or vibration created by mechanical equipment and in seme cases by plant systems to detemine their actual condtion. a)- true b)- false