For an FCC single crystal, would you expect the surface energy for a (100) plane to be greater or less than that for a (111) plane? (Note: You may want to consult the solution to Problem 3.58 at the end of Chapter 3.)

Derive planar density expressions for FCC (100) and (111) planes in terms of the atomic radius
Compute and compare planar density values for these same two planes for aluminum (Al).

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.

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

Afluid flows with a velocity field given by v=(x/t)i.. determine the local and convective accelerations when x=3 and t=1.