A circular shaft is fixed at one end and free at the other as shown in fig. It is loaded with uniformly distributed torsion t/unit length along its length L. Determine the rotation of the free end if the torsional rigidity of the shaft is GJ.

1
\(\frac{{t{L^2}}}{{2GJ}}\)
2
\(\frac{{t{L^2}}}{{GJ}}\)
3
\(\frac{{2t{L^2}}}{{GJ}}\)
4
\(\frac{{t{L}}}{{2GJ}}\)

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