QI/Given the three-dimensional potential energy function 1 V(r) = vo -s8'er*/8 where r = ix + jy + kz and V0, k. and & are constants, a- find the force function. b- For V0-1, s-6, and & = 1/3, find the magnitude of the force at the point (x=1. y-2.z=1).

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Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.