Showing all of your work and algebra, generate an approximate expression for T as a function ofthe other variables. (b) Explain why your solution is only anapproximation. In particular, do you expect the velocity profilein the gap to remain linear as the gap becomes larger andlarger (i. e., if the outer radius Rowere to increase, all elsestaying the same)?

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.