A solid titanium alloy [G=114⁢ GPa] shaft that is 730 mm long will be subjected to a pure torque of T=150 N⋅m. Determine the minimum diameter required if the shear stress must not exceed 135 MPa and the angle of twist must not exceed 3°. Report both the maximum shear stress τ and the angle of twist φ at this minimum diameter.

The characteristic roots of a dynamic system are: 1.7920 1.8160 i, -1.7920 1.8160 i, -0.4160 what is the order of this system? what are the settling time and damping ratio of the system?

In general, how do thermosetting plastics compare to thermoplastics in mechanical and physical properties?

At steady state, air at 200 kpa, 325 k, and mass flow rate of 0.5 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. the inlet cross-sectional area is 6 cm2. at the duct exit, the pressure of the air is 100 kpa and the velocity is 250 m/s. neglecting potential energy effects and modeling air as an 1.008 kj/kg k, determine ideal gas with constant cp = (a) the velocity of the air at the inlet, in m/s. (b) the temperature of the air at the exit, in k. (c) the exit cross-sectional area, in cm2