Question detail
Explain how a longer lever arm can reduce the force needed to achieve the same moment.
Try the question, check the answer, then read the explanation to understand the curriculum point.
At a glance
Question
Type
exam_style
Style
Topic
Moments, levers and gears (physics only)
Question
Explain how a longer lever arm can reduce the force needed to achieve the same moment.
Answer
A longer lever arm increases the perpendicular distance from the pivot to the line of action of the force. This means that for the same moment, which is the product of force and distance, a smaller force is required because the moment is distributed over a greater distance.
Explanation
This question tests the understanding of the relationship between lever arms and moments. A strong answer demonstrates knowledge of how increasing the distance affects the force required, which is a key concept in mechanics.
Common mistake
Misunderstanding force reduction
Students think a longer lever arm increases the required force to achieve the same moment, rather than reducing it.
Explain that moment M = F × d; for a fixed M, increasing the perpendicular distance d means the force F must decrease proportionally (F = M/d).
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