A uniform board of length $L$ and mass $m$ is placed on the flat horizontal bed of a truck, leaning

Question

A uniform board of length $L$ and mass $m$ is placed on the flat horizontal bed of a truck, leaning against the vertical back wall of the truck's cab. The top of the board touches the vertical wall at a height of $0.8L$ from the bed, and its bottom rests on the bed at a horizontal distance of $0.6L$ from the wall. The truck travels forward (in the direction from the bottom of the board towards the vertical wall). There is no friction between the board and the vertical wall, but the coefficient of static friction between the board and the truck bed is $\mu_s = 0.5$.

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