Construct the Bode magnitude and phase plots on the semi-log charts for the following two transfer functions.
(a) H(ω) = jω/ω₀, ω₀ = 10⁴ rad/s.
(b) H(ω) = 1 + jω/ω, ω = 4 x 10³ rad/s.
(c) H(ω) = 1/(1 + jω/ω), ω= 2 x 10³ rad/s.
(d) H(W) = jω/jω₁/(1+ jω/jω₂), ω₁= 10⁴ rad/s, and ω₂= 2 x 10³ rad/s.

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.

Adouble-strand no. 60 roller chain is used to transmit power between a 13-tooth driving sprocket rotating at 300 rev/min and a 52-tooth driven sprocket. a) what is the allowable horsepower of this drive? b) estimate the center-to-center distance if the chain length is 82 pitches. c) estimate the torque and bending force on the driving shaft by the chain if the actual horsepower transmitted is 30 percent less than the corrected (allowable) power.

Slip occurs via two partial dislocations because of (a) the shorter path of the partial dislocation lines; (b) the lower energy state through partial dislocations; (c) the charge balance.