Calculate the frequencies (in Hz) for the ten lowest modes of a rigid-wall room of dimensions 2.59m x 2.42m x 2.82m (i. e., find the modes with the 10 lowest natural frequencies).
For each of these 10 natural frequencies, identify the value of nx, ny, and nz.

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.