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A bar of mass M and length L is hanging ...

A bar of mass M and length L is hanging from point S as shown in figure. The Young's modulus of elasticity of the wire is Y and the area of cross-section of the wire is A.

(i) Find the stress at x distance from bottom end.
(ii) Consider a samll section dx of the bar at a distance x from lowest point of bar. Find elongation (dL) in section dx.
(iii) Find total elongation in bar.
(iv) Find energy density at x distance from bottom and.
(v) Find total elastic potential energy stored in bar.

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