Use predicates (i) through (iv) to answer the following questions. i. f = ab¯ c + ¯ ab¯ c ii. f = ¯ a¯ b¯ c¯ d + abcd iii. f = ab + a¯ bc + ¯ a¯ bc iv. f = ¯ a¯ c¯ d + ¯ cd + bcd (a) draw the karnaugh maps for f and ¯ f. (b) find the non redundant prime implicant representation for f and ¯ f. (c) give a test set that satisfies implicant coverage (ic) for f. (d) give a test set that satisfies multiple unique true points (mutp) for f. (e) give a test set that satisfies corresponding unique true point and near false point pair coverage (cut pnfp) for f. (f) give a test set that satisfies multiple near false points (mnfp) for f.

Steel is coated with a thin layer of ceramic to protect against corrosion. what do you expect to happen to the coating when the temperature of the steel is increased significantly? explain.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

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