I Question regarding finding the magnitude of Torque

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The discussion focuses on calculating the torque of a system with two masses attached to a rod, which is rotating at an angle θ from the vertical. The key point raised is the definition of the vector r, which is the distance from the pivot point to the mass. The thread was closed for moderation, emphasizing that schoolwork-related questions should be posted in designated Homework Help forums. Additionally, users are reminded to attach images directly rather than using temporary links. The conversation highlights the importance of proper forum etiquette and guidelines for posting academic questions.
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User has been reminded to post schoolwork-type questions in the Homework Help forums, and to upload images here rather than just linking to them.
TL;DR
https://imgur.com/a/JDUgrrZ

This is the question ,now there are two ways to approach this .

1)Using the formula τ=r×F .
2)Finding L and differentiating it.

Now I approached the problem with the first method .

Since the mass is moving along a circle of radius rsinθ,the centripetal force is F=mrsinθω² ....(1)

https://imgur.com/a/nZogpVO. ...(A)

Here r is the vector from the centre of rod (which is stationery ) to the mass .

Angle between r and F is 90°+θ .

Therefore Torque τ is rFsin(90+
Question regarding finding the magnitude of Torque of a system of two masses attached to a rod rotating at angle of θ degrees with respect to a vertical
 
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What are you considering r to be?

FA00FD8A-D2E0-4177-A22F-1DA48C4F3A08.jpeg

89801AFC-3C1E-4396-89C9-73AB6CAE1462.jpeg
 
The vector from point through which the rod is rotating to the mass .

I have drawn r Vector in second image .
 
Thread closed for Moderation...
 
Thread will remain closed here. @Harikesh_33 -- Please check your PMs. Schoolwork-type questions (even if for self-study) must be posted in the Homework Help forums. Also, please do not just transitory imgur links to the images -- those can disappear which makes your thread make no sense. Please use the "Attach files" link below the Edit window instead. Thank you.
 
Thread 'The rocket equation, one more time'

Thread 'The rocket equation, one more time'

I already posted a similar thread a while ago, but this time I want to focus exclusively on one single point that is still not clear to me. I just came across this problem again in Modern Classical Mechanics by Helliwell and Sahakian. Their setup is exactly identical to the one that Taylor uses in Classical Mechanics: a rocket has mass m and velocity v at time t. At time ##t+\Delta t## it has (according to the textbooks) velocity ##v + \Delta v## and mass ##m+\Delta m##. Why not ##m -...
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