# (Solved): f) Figure Q2(b) shows the cross sectional area of the cantilever in a plane orthogonal to the long ...

f) Figure Q2(b) shows the cross sectional area of the cantilever in a plane orthogonal to the long axis of the cantilever. The origin of the co-ordinate axis is located at the centroid of the cross section (a depth from the top surface and distance from the left most side of the cantilever, as shown in the figure. Figure Q2(b): Cross sectional geometry of the cantilever If bending of the cantilever occurs about the -axis, calculate the second moment of area around this axis in terms of the cantilever thickness, , and the width, . (4) g) If the cell exerts a force of on the tip of the cantilever, a distance from the anchor point, calculate the curvature of the AFM if the cantilever is made of crystalline silicon with a Young's modulus of . In order calculate this, you will need to use your answer to question and the pure bending equation that relates the bending curvature of the rod to the applied moment and material properties of the cantilever. (3)

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