Angular velocity of object after being subjected to torque

Click For Summary

Homework Help Overview

The discussion revolves around calculating the angular velocity of an object subjected to torque, specifically focusing on the integration of torque and angular acceleration to determine changes in angular velocity.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the possibility of using integration to analyze torque and angular acceleration. There are attempts to relate torque to angular acceleration using the equation τ = Iα, and questions arise about the application of infinitesimal approaches.

Discussion Status

Participants are exploring different mathematical approaches to the problem, including integration techniques. Some guidance has been offered regarding the relationship between torque and angular acceleration, but there is still uncertainty about how to proceed with the calculations.

Contextual Notes

There is a mention of specific equations related to torque and angular motion, but participants express confusion about the application of these concepts in the context of the problem.

serverxeon
Messages
100
Reaction score
0
34j6hjm.png


In particular I am only looking at part c.

I know the simpler approach is to use energy.

But I am thinking if i can do an integration of all the torque throughout the process, and hence find the integration of the net angular acceleration and find the resultant change in angular velocity.

But I have no idea how to do the mathematics. Can anyone show me how the mathematics is done?
 
Physics news on Phys.org
hi serverxeon! :smile:
serverxeon said:
… if i can do an integration of all the torque throughout the process, and hence find the integration of the net angular acceleration and find the resultant change in angular velocity.

But I have no idea how to do the mathematics. Can anyone show me how the mathematics is done?

τ = Iα …

torque (of the weight) = 1/3 ML2 d2θ/dt2 :wink:
 
tiny-tim said:
hi serverxeon! :smile:


τ = Iα …

torque (of the weight) = 1/3 ML2 d2θ/dt2 :wink:

hey thanks for the help.

sorry but I still don't know how to go on from here!

could you elaborate a bit further!

In particular I was looking at using the 'infinitesimal' dτ or dα approach.
 
serverxeon said:
In particular I was looking at using the 'infinitesimal' dτ or dα approach.

there is no dτ or dα in this situation :confused:

use torque (of the weight) = 1/3 ML2 d2θ/dt2

what is the torque? (as a function of θ)​
 

Similar threads

  • · Replies 30 ·
2
Replies
30
Views
4K
  • · Replies 17 ·
Replies
17
Views
1K
  • · Replies 32 ·
2
Replies
32
Views
3K
Replies
17
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
841
Replies
3
Views
1K
Replies
67
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K