Question regarding finding the magnitude of Torque

In summary, the conversation is about finding the magnitude of torque in a system of two masses attached to a rotating rod at an angle of θ degrees. The question asks for clarification on what r represents, and the person has provided an image of r Vector in the second image. The thread has been closed for moderation and the user is reminded to check their PMs for further instructions.
  • #1
Harikesh_33
24
4
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 Summary
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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  • #2
What are you considering r to be?

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

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

I have drawn r Vector in second image .
 
  • #4
Thread closed for Moderation...
 
  • #5
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.
 

Related to Question regarding finding the magnitude of Torque

1. What is torque and how is it defined?

Torque is a measure of the rotational force applied to an object. It is defined as the product of the force applied and the distance from the axis of rotation to the point where the force is applied.

2. How do you calculate the magnitude of torque?

The magnitude of torque can be calculated by multiplying the force applied by the distance from the axis of rotation to the point where the force is applied. The formula for torque is: T = F x d, where T is torque, F is force, and d is distance.

3. What units are used to measure torque?

Torque is typically measured in units of newton-meters (N∙m) in the metric system, or foot-pounds (ft∙lb) in the imperial system.

4. How does the direction of the force affect the magnitude of torque?

The direction of the force applied affects the direction of the torque, but it does not affect the magnitude of torque. The magnitude of torque only depends on the force applied and the distance from the axis of rotation.

5. What are some common applications of torque in everyday life?

Torque is used in many everyday objects and activities, such as opening a jar, tightening a bolt, and riding a bicycle. It is also important in many industrial and mechanical processes, such as engines, motors, and machines.

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