The following waveforms are measured through a particular device: LaTeX: v(t)= 20\cos(100t+50^{\circ})Vv ( t ) = 20 cos ⁡ ( 100 t + 50 ∘ ) V LaTeX: i(t)=15\cos(100t-5^\circ)Ai ( t ) = 15 cos ⁡ ( 100 t − 5 ∘ ) A What is the power angle? Submit your answer in degrees, while omitting the unit.

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.