Consider a cylindrical capacitor that consists of an inner conducting cylinder(a wire) with radiusa, and an outer cylindrical shell of radiusb. the inner cylinder hastotal charge +qand the outer cylindrical shell has total charge−q. a) (2 points) find the surface charge densities on the cylinder and cylindrical shellσaandσb, respectively. b) (2 points) find thee-field everywhere. make a sketch of your solution. c) (2 points) integrate the energy density stored in thee-field. d) (2 points) find the capacitancecof this system, and then use stored energy =12cv2.5.

The mass flow rate of the fluid remains constant in all steady flow process. a)- true b)- false

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.

Water at 70°f and streams enter the mixing chamber at the same mass flow rate, determine the temperature and the quality of the exiting stream. 0 psia is heated in a chamber by mixing it with saturated water vapor at 20 psia. if both streams enters the mixing chamber at the same mass flow rate, determine the temperature and the quality of the existing system.