Determine which vibration mode of planer (co3)2- is not infrared active. is that mode raman active? why?

Avertical steel rod of length 2.0 m and diameter 25 mm is rigidly fixed at its upper end and has a flange at its lower, free, end. what will be the maximum stress produced in the rod when a load of 20 kn is applied, (a) gradually to the lower end, (b) suddenly to the lower end, (c) by a collar falling from a height of 50 mm on to the flange?

Through changes in clamping, a sheet-metal forming operation can allow the material to undergo a negative minor strain in the forming limit diagram. explain how this effect can be advantageous.

A1.5-in-diameter bar has been machined from an aisi 1050 cold-drawn bar. this part is withstand a fluctuating tensile stress varying from 0 to 18.0 kpsi. because of the ends, and the fill radius, a fatigue stress-concentration factor ky is 1.6 for 10 or larger life. the fully correcte endurance limit is s 34 kpsi, sat= 100 kpsi and s, 84 kpsi. find the factor of safety guardin against fatigue, using the modified goodman fatigue line and first-cycle yielding