A rectangular storage container with an open top and a square base has a volume of 8 cubic meters. Material for the base costs $5 per square meter and material for the sides $2 per square meter. Find a formula that expresses the total cost of materials as a function of the length of a side of the base.

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.

Fluids at rest possess no flow energy. a)- true b)- false

During a steady flow process, the change of energy with respect to time is zero. a)- true b)- false