Calculating Moment of Inertia for a Pulley with Attached Mass

AI Thread Summary
To calculate the moment of inertia for a pulley with an attached mass, the problem involves a 1.65 kg mass and a pulley with a radius of 4.65 cm, where the mass falls with a constant acceleration of 2.40 m/s². The initial attempts to find the moment of inertia using I=mr² and torque calculations were unsuccessful. The discussion highlights the need to correctly apply torque equations and angular acceleration to derive the moment of inertia. Ultimately, the participant found a solution using a different set of equations, indicating the complexity of the calculations involved. Accurate application of physics principles is crucial for solving such problems effectively.
Keithkent09
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Homework Statement


A 1.65 kg mass is attached to a light cord that is wrapped around a pulley of radius 4.65 cm, which turns with negligible friction. The mass falls at a constant acceleration of 2.40 m/s2. Find the moment of inertia of the pulley.

Homework Equations


I=mr^2
Torque=I*alpha


The Attempt at a Solution


I tried to just square the radius given and multiply it by the mass but that did not work. I also tried to find the Torque using T=mgr. And then divided that number by the acceleration/radius in order to get the angular acceleration.
 
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Keithkent09 said:
I also tried to find the Torque using T=mgr. And then divided that number by the acceleration/radius in order to get the angular acceleration.

So what did that give you?
 
It gave me the wrong answer. I guess that is not the correct way to find the torque
 
Keithkent09 said:
It gave me the wrong answer. I guess that is not the correct way to find the torque

That should be the correct way to do it, post your work.
 
I figured it out using a different set of equations. Thanks for your help though, sorry to waste your time.
 
Keithkent09 said:
I figured it out using a different set of equations. Thanks for your help though, sorry to waste your time.

What equations did you use by chance?
 
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