Given the following system, with values of jo = 8 kg-m2, k = 15 kn/m, l= 2.5 m, c1 = 50 n-s/m and c2 = 18 n-s/m. using lagrange equation, find the ceqin 2 decimal points, according to the rayleigh’s dissipation function.

Explain the difference laminar and turbulent flow. explain it with the shear stress and the velocity profiles.

Coiled springs ought to be very strong and stiff. si3n4 is a strong, stiff material. would you select this material for a spring? explain.

Aturning operation is performed with following conditions: rake angle of 12°, a feed of 0.35 mm/rev, and a depth of cut of 1.1 mm. the work piece is aluminum alloy 6061 with t6 heat treatment (a16061-t6). the resultant chip thickness was measured to be 1.0 mm. estimate the cutting force, fc. use shear stress of 207 mpa and coefficient of friction on the tool face of 0.6.