Is Torque Relevant in Projectile Motion?

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The discussion centers around the relevance of torque in projectile motion, particularly at the highest point of a projectile's trajectory. Participants express confusion about how torque, typically associated with rotational motion, applies to a projectile that does not exhibit typical rotation. It is clarified that torque can be related to angular momentum, which does not exclusively require rotational motion, and can be defined relative to a chosen axis. The conversation highlights that while angular momentum is often linked to rotation, it can also be calculated for linear motion under certain conditions. Ultimately, the relevance of torque in this context is debated, emphasizing its complex relationship with both linear and rotational dynamics.
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In class our teacher shows a problem where he finds out the torque acting on a projectile at the highest point of its trajectory.
He calculates the horizontal displacement from the vertical axis to the highest point as "r "and multiplies with "mg" as "F".
Here I am a little confused. Isn't torque associated with rotational motion like "r" is the perpendicular distance from the rotational axis ? How we can treat a projectile motion as a rotatinal motion ?
 
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Torque from what, relative to what?

From gravity, relative to the center of your coordinate system: well, that is true, but I don't see the relevance of that value as the projectile does not perform a typical rotation around this point.
 
Thanks for replying...yes...he mentioned it, moment of the force 'mg'.
 
Molar said:
Isn't torque associated with rotational motion
Not in general. Torque is the time derivate of angular momentum, which doesn't require rotational motion.
 
A.T. said:
Torque is the time derivate of angular momentum, which doesn't require rotational motion.

Yes, torque = dL/dt ; L = angular momentum
But again angular momentum is connected to rotation of object . We do not find angular momentum of linear motion.
We define an axis of rotation and take the distance from it to measure L = r × mv
We also know L = I.ω ; I = moment of inertia , ω = angular velocity
So angular momentum is about rotational motion right ? Or where have I got it wrong ?
 
Molar said:
We do not find angular momentum of linear motion.
Sure we do, for axes that do not cross the line of motion.
This is a pointless approach in most situations, but it is not wrong.
 
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