Daniel would like to test a composite insulation he has made. He uses a heat box that will heat 7 kg of air. The specific heat of air is 1000 J/kgC. He records the temperature inside the box at the start to be 58C, the box heats to maximum temperature to be 99C, and then cools to a final temperature of 73C. Determine the energy gained by the air in the box during heating – Q(heat) in J (Joules).

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.

Different types of steels contain different elements that alter the characteristics of the steel. for each of the following elements, explain what the element does when alloyed with steel.

Calculate the bore of a cylinder that has a stroke of 18 inches and an extension time of 6 seconds at a flow rate of 4 gal/min.