10 points) If a filter has unity gain (i. e. 0 dB) in its passband, you know that the frequency at which the output has half the amplitude of the input is known as the cutoff frequency. Hence, the gain is -3 dB at the cutoff frequency. However, if the maximum gain in the passband is not 0 dB, the cutoff frequency is the point where the gain is 3 dB lower than the maximum gain. When measuring cutoff frequency from a Bode plot, if you notice that the maximum gain is 8 dB, then what is the gain at the cutoff frequency?

Heat is added to a piston-cylinder device filled with 2 kg of air to raise its temperature 400 c from an initial temperature of t1 27 cand pressure of pi 1 mpa. the process is isobaric process. find a)-the final pressure p2 b)-the heat transfer to the air.

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.

If a particle moves along a path such that r : (3 sin t) m and ? : 2t rad, where t is in seconds. what is the particle's acceleration in m/s in 4 seconds? a)- 16.43 b)- 16.29 c)- 15.21 d)- 13.79