Calculating Torque with Angled Forces: A New Perspective

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SUMMARY

This discussion focuses on calculating torque when forces are applied at an angle. The traditional torque formula, τ = Fd, where F is the force and d is the distance from the pivot, can be adapted by decomposing the angled force into horizontal and vertical components. Specifically, the horizontal force can be calculated using F sin(angle), and the distance measured from the pivot to the point of contact, which is perpendicular to the pivot. The torque can be accurately determined using the cross product of the force vector and the distance vector.

PREREQUISITES
  • Understanding of torque and its traditional calculation
  • Knowledge of vector decomposition in physics
  • Familiarity with trigonometric functions, specifically sine and cosine
  • Basic concepts of cross product in vector mathematics
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  • Study the application of the cross product in physics problems
  • Learn about vector decomposition techniques in force analysis
  • Explore advanced torque calculations in rotational dynamics
  • Review the implications of angle in force applications on torque
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Physics students, mechanical engineers, and anyone interested in advanced mechanics and torque calculations will benefit from this discussion.

minijumbuk
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i was wondering the other way to calculate torque
as it is calculated by Fd, F=force and d= distance from pivot.
my question is... originally, torque is calculated by extending the line of force until it is perpendicular to the pivot. then that distance X force is the value of torque.
i was wondering, if the force is at an angle to the place of contact, could we not just split the force into horizontal and vertical force? and then use the horizontal force (given by F sin (angle)) and measure the distance from pivot from the point of contact which is already perpendicular to the pivot, please give some thoughts...i duno if its right...:rolleyes:
 
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yup, just like many things in physics...torque formula is the dot product between the force vector and the "distance" vector. so yes, you will get a sin or cos of an angle depending where you define your angle. but the idea is the same.

edit: sorry I meant to say cross product, convention is use sin of an angle
 
Last edited:
minijumbuk said:
i was wondering the other way to calculate torque
as it is calculated by Fd, F=force and d= distance from pivot.
my question is... originally, torque is calculated by extending the line of force until it is perpendicular to the pivot. then that distance X force is the value of torque.
i was wondering, if the force is at an angle to the place of contact, could we not just split the force into horizontal and vertical force? and then use the horizontal force (given by F sin (angle)) and measure the distance from pivot from the point of contact which is already perpendicular to the pivot, please give some thoughts...i duno if its right...:rolleyes:

Very good, you are correct.
 
cyrusabdollahi said:
Very good, you are correct.
WOOHOO! XD
lol thanks...that clears it up a lot:smile:
 

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