When a 2-kg block is suspended from a spring, the spring is stretched a distance of 20 mm. determine the natural frequency and the period of vibration for a 0.5-kg block attached to the same spring

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.