In the formula \( W = Fd \cos \theta \), the variables represent the following:
- \( W \) is the work done.
- \( F \) is the magnitude of the force applied.
- \( d \) is the displacement in the direction of the force.
- \( \theta \) is the angle between the force and the direction of displacement.
To achieve maximum work, you need to maximize the term \( \cos \theta \). The maximum value of \( \cos \theta \) is 1, which occurs when \( \theta = 0^\circ \). This means that the force is applied in the same direction as the displacement.
Therefore, maximum work is achieved when the force is applied in the direction of the displacement (i.e., \( \theta = 0^\circ \)). In this case, the formula simplifies to:
\[ W = Fd \]
Thus, to maximize work done, the force should be aligned with the direction of motion.
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