A railroad crossing gate consists of a plank of mass M and length 2L , pivoted at one end. A support rod is used to minimize wear and tear on the pivot. At what distance l from the pivot should the support rod be placed to minimize the force on the pivot?

1
\( l = \frac{L}{2}\)
2
\(l = \frac{2L}{3}\)
3
\( l = \frac{ML}{I_p}\)
4
\(l = \frac{4L}{3}\)

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