Suppose spring. the spring a cart of mass 1 slug is attached to a wall by constant is k100 and the spring is initially stretched 1 foot beyond equilibrium and released. if a periodic force fe(t) 20 sin (10 ) is applied to the system, determine the motion of the cart. in particular, what is the cart's maximum displacement from the wal1? show all your steps, do not se any formulas from your book.

In 1980, alfa romeo introduced the first system to smooth a rough idle caused by ignition and camshaft timing changes.

An internally reversible refrigerator has a modified coefficient of performance accounting for realistic heat transfer processes of where qin is the refrigerator cooling rate, qout is the heat rejection rate, and is the power input. show that copm can be expressed in terms of the reservoir temperatures tc and th, the cold and hot thermal resistances rt,c and rt,h, and qin, as where rtot rt,c rt,h. also, show that the power input may be expressed as 1.39 a household refrigerator operates with cold- and hot-temperature reservoirs of tc 5 c and th 25 c, respectively. when new, the cold and hot side resistances are rc,n 0.05 k/w and rh,n 0.04 k/w, respectively. over time, dust accumulates on the refrigerator’s condenser coil, which is located behind the refrigerator, increasing the hot side resistance to rh,d 0.1 k/w. it is desired to have a refrigerator cooling rate of qin 750 w. using the results of problem 1.38, determine the modified coefficient of performance and the required power input w under (a) clean and (b) dusty coil conditions. internally reversible refrigerator qout qin w high-temperature reservoir low-temperature reservoir th th,i tc,i tc high-temperature side resistance low-temperature side resistance w qin th tc qinrtot tc qinrtot copm tc qinrtot th tc

True or false when elements combine to form a mixture, the resulting chemical properties may be very different from those of the elements that make it.