Solve each of the following problems with the trial solution method. Identify the free, forced, transient, and steady-state responses.
a. x¨ + 8x˙ + 15x = 30 x(0) = 10 x˙(0) = 4
b. x¨ + 10x˙ + 25x = 75 x(0) = 10 x˙(0) = 4
c. x¨ + 25x = 100 x(0) = 10 x˙(0) = 4
d. x¨ + 8x˙ + 65x = 130 x(0) = 10 x˙(0) = 4

Amass of m 1.5 kg of steam is contained in a closed rigid container. initially the pressure and temperature of the steam are: p 1.5 mpa and t 240°c (superheated state), respectively. then the temperature drops to t2= 100°c as the result of heat transfer to the surroundings. determine: a) quality of the steam at the end of the process, b) heat transfer with the surroundings. for: p1.5 mpa and t 240°c: enthalpy of superheated vapour is 2900 kj/kg, specific volume of superheated vapour is 0. 1483 m/kg, while for t 100°c: enthalpy of saturated liquid water is 419kj/kg, specific volume of saturated liquid water is 0.001043m/kg, enthalpy of saturated vapour is 2676 kj/kg, specific volume of saturated vapour is 1.672 m/kg and pressure is 0.1 mpa.

Ifa component is made of two or more materials with different modulus of elasticity (e), it is called a composite member and we calculate the factor·n". mention the formula for calculating n". also, ifn> 1, explain what will happen to the 1. transformed.gi) ifn 1, what will happen to the material when transformed material when

Apressure vessel with an r/t 20 cannot be treated as thin walled vessel. a)-trune b)- false