An elastic band is hung on a hook and a mass is hung on the lower end of the band. when the mass is pulled downward and then released, it vibrates vertically. the equation of motion is s(t)=2cost+3sint, t≥0, where s is measured in centimeters and t in seconds. (we take the positive direction to be downward.) (a) find the velocity function. (b) when does the mass pass through the equilibrium position for

Calculate the ratio of h+ ions to oh– ions at a ph = 6. find the concentration of h+ ions to oh– ions listed in table b of your student guide. then divide the h+ concentration by the oh– concentration. record this calculated ratio in table a of your student guide. compare your approximated and calculated ratios of h+ ions to oh– ions at a ph = 6. are they the same? why or why not? record your explanation in table a. what is the concentration of h+ ions at a ph = 6? mol/l what is the concentration of oh– ions at a ph = 6? mol/l what is the ratio of h+ ions to oh– ions at a ph = 6? : 1

Asatellite component is in the shape of a cube with 10cm edges, has an evenly distributed mass of 2 kg and one bolt hole at each of four corners. if the maximum predicted random vibration environment is 10 grms, what bolt size would be a good choice for restraint? what other factors might drive bolt size besides force/stress?

What sort of waves exhibit the doppler effect?