How Does Mass Influence Angular Acceleration?

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SUMMARY

The discussion focuses on the relationship between mass and angular acceleration in the context of torque. The relevant equations identified include torque (t = mr²α) and the general torque equation (Torque = Iα), where I represents the moment of inertia. For a uniform disk, the moment of inertia is defined as I = 1/2mr². Understanding these equations is crucial for solving problems related to angular motion.

PREREQUISITES
  • Understanding of angular acceleration and torque
  • Familiarity with the moment of inertia concept
  • Knowledge of rotational dynamics equations
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the relationship between torque and angular acceleration in detail
  • Learn about the moment of inertia for different shapes
  • Explore applications of rotational dynamics in real-world scenarios
  • Practice solving problems involving torque and angular motion
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Students studying physics, particularly those focusing on mechanics, as well as educators and anyone seeking to deepen their understanding of rotational dynamics and angular motion.

apaxapax
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Homework Statement



See attached

Homework Equations



Ok..Im having difficulty with this problem. I don't see what m has to do with angular accerleration.

The Attempt at a Solution


I believe the equation to use for this is a=rα ? I just can't get there..any help would be great

thanks




Homework Equations





The Attempt at a Solution

 

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apaxapax said:

Homework Statement



See attached

Homework Equations



Ok..Im having difficulty with this problem. I don't see what m has to do with angular accerleration.

The Attempt at a Solution


I believe the equation to use for this is a=rα ? I just can't get there..any help would be great

thanks

Well the tension would exert a torque, so what equation relates torque and angular acceleration?
 
ok..found an equation...guess I need to organize equations better..seems to be my big problems.
t=mr2α

that should do it I think..anyone like to confirm?

thanks
 
apaxapax said:
t=mr2α

that should do it I think..anyone like to confirm?
Almost. The general equation that you need, as rock.freak was leading you towards, is:
Torque = I*alpha

What's I for a uniform disk?
 
I = 1/2mr2
 
apaxapax said:
I = 1/2mr2
Good!
 
thanks for the help. much appreciated
 

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