Consider the continuous-time linear time-invariant system with transfer-function:
g(s) =1 / s+1
answer the following questions:
a) what is the differential equation associated with the above transfer-function?
b) calculate the poles and zeros of g(s).
c) is g(s) asymptotically stable?
d) use the bilinear transformation (aka tustin transformation)
s = 2/ts z−1/z+ 1
to calculate the corresponding discretized transfer-function gd(z)

The force on a cutting tool are 2600n vertically downward and 2100 horizontal. determine the resultant force acting on the tool and the angle at which it acts.

Abrake has a normal braking torque of 2.8 kip in and heat-dissipating cast-iron surfaces whose mass is 40 lbm. suppose a load is brought to rest in 8.0 s from an initial angular speed of 1600 rev/min using the normal braking torque; estimate the temperature rise of the heat dissipating surfaces.

Afour cylinder four-stroke in-line engine has a stroke of 160mm, connecting rod length of 150mm, a reciprocating mass of 3kg and its firing order is 1-3-4-2. the spacing between cylinders is 100mm. i. show that the engine is in balance with regard to the primary inertia forces and primary 3. a and secondary inertia couples. li determine the out of balance secondary inertia force ii. propose ways of balancing this out of balance force and discuss the challenges that will arise