Determine whether the geometric series is convergent or divergent. (5 − 7 + 49 5 − 343 25 + ) convergent divergent correct: your answer is correct. if it is convergent, find its sum. (if the quantity diverges, enter diverges.) $$ correct: your answer is correct.

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.