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How is moment calculated when the force is perpendicular to the distance between the fulcrum and the line of action of force?

A) Moment = Force × Distance
B) Moment = Force ÷ Distance
C) Moment = Force × Distance × Sin(θ)
D) Moment = Force × Distance × Cos(θ)

User Scraplesh
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1 Answer

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Final answer:

The moment is calculated as Moment = Force × Distance when the force is perpendicular to the lever arm, giving a torque of 375 N·m for a force of 250 N applied at 1.50 m from the fulcrum.

Step-by-step explanation:

When a force is perpendicular to the distance between the fulcrum and the line of action of the force, the moment is calculated using the formula Moment = Force × Distance. This is because the sine of an angle of 90 degrees (which is the case when the force is perpendicular) is equal to 1, rendering the sin(θ) part of the torque equation redundant. Therefore, if we have a force of 250 N applied at a distance of 1.50 m from the fulcrum, the resulting moment or torque would be 375 N·m, calculated by multiplying the force by the distance (T = rF).

User Illya Doos
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