After attempting to form a workers' union with his shipmates, a seaman
is forced to walk the plank for mutiny. The moment generated at the base
of the plank depends on the man's weight, his location, and the angle
of the boat.

What is known:

The man has a weight of W lb and is standing a distance of x ft from
the base of the plank.

The boat is tilted an angle of α, measured
in degrees.

Question

What is the moment generated about point A, which is located at the base
of the plank?

Approach

Determine the perpendicular distance from point A to the line of
action of the force as a function of x and α.

Calculate the moment about point A by multiplying the force times
the perpendicular distance.

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