Calculating Maximum Torque on Rotating Square

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SUMMARY

The maximum torque produced by a force applied to a rotating square with a side length of 0.69 m is calculated using the formula τ = F × r, where τ is torque, F is the force, and r is the distance from the axis of rotation. In this case, the maximum distance from the axis is the diagonal of the square divided by 2, which is (0.69 m × √2) / 2. The correct calculation yields a maximum torque of 17.1 N × (0.69 m / √2), resulting in approximately 8.5 N*m.

PREREQUISITES
  • Understanding of torque and its calculation
  • Familiarity with the properties of squares and diagonals
  • Basic knowledge of physics concepts related to forces
  • Ability to perform mathematical operations involving square roots
NEXT STEPS
  • Study the principles of rotational dynamics
  • Learn about the moment of inertia for different shapes
  • Explore applications of torque in engineering contexts
  • Investigate the effects of varying force angles on torque calculation
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Students studying physics, particularly those focusing on mechanics, as well as engineers and anyone interested in understanding torque and rotational motion in practical applications.

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A square, 0.69 m on a side, is mounted so that it can rotate about an axis that passes through the center of the square. This axis is perpendicular to the plane of the square. A force of 17.1 N lies in this plane and is applied to the square. What is the magnitude of the maximum torque (in N*m) such that a force could produce?

I have no idea how to approach this problem.

I tried doing Force x max distance from axis
so..
17.1 N x [tex]\sqrt{}2[/tex(0.69 / 2)<br /> <br /> but i was not getting the correct answer... any ideas?[/tex]
 
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hi physics_10! :smile:

(have a square-root: √ :wink:)
physics_10 said:
A square, 0.69 m on a side, is mounted so that it can rotate about an axis that passes through the center of the square. This axis is perpendicular to the plane of the square. A force of 17.1 N lies in this plane and is applied to the square. What is the magnitude of the maximum torque (in N*m) such that a force could produce?

I have no idea how to approach this problem.

I tried doing Force x max distance from axis
so..
17.1 N x [tex]\sqrt{}2[/tex(0.69 / 2)<br /> <br /> but i was not getting the correct answer... any ideas?[/tex]
[tex] <br /> (ie 17.1 x 0.69/√2 ?)<br /> <br /> looks right to me <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f615.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":confused:" title="Confused :confused:" data-smilie="5"data-shortname=":confused:" />[/tex]
 

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