Angular velocity of object after being subjected to torque

[serverxeon]

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?

 

[tiny-tim]

hi serverxeon!

… 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 ​

 

[serverxeon]

hi serverxeon!


τ = Iα …

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

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.

 

[tiny-tim]

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

there is no dτ or dα in this situation

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

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