Rank Magnitude of Torque for Forces A-F on Wrench

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SUMMARY

The discussion focuses on ranking the torque magnitudes produced by six equal forces (A-F) acting on a wrench, specifically about an axis centered on the bolt. The user ranks the forces as D, (B, E), (A, F), and C, concluding that force C generates zero torque due to its alignment along the wrench's axis. The user also contemplates the necessity of knowing the angles between the position vector (r) and the forces (F) to determine a definitive ranking.

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  • Understanding of torque and its calculation using the formula τ = r × F
  • Familiarity with vector components and their roles in physics
  • Knowledge of the concept of moment arms in rotational dynamics
  • Basic principles of equilibrium in mechanics
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  • Study the calculation of torque using different angles between force and position vector
  • Learn about the significance of moment arms in torque generation
  • Explore the effects of force direction on torque in rotational systems
  • Investigate the principles of static equilibrium and how they apply to wrenches
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Students in physics or engineering, particularly those studying mechanics, as well as educators seeking to clarify concepts related to torque and rotational dynamics.

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Homework Statement

The wrench in the figure has six forces of equal magnitude acting on it. Rank these forces (A through F) on the basis of the magnitude of the torque they apply to the wrench, measured about an axis centered on the bolt. Rank from largest to smallest.


The attempt at a solution

I've tried from largest: D, (B, E) (A, F), C

where bracket up means same rank.

Force C is along the axis of wrench so its torque is zero, am i right?


Or the ranking cannot be determined cos we don't know the angles between the r and F ?
 

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hmm. i think i know how to solve..
 
Last edited:

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