Find Angular Acceleration of Pulley w/ Mass & Rope Connected

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SUMMARY

The discussion focuses on calculating the angular acceleration of a pulley connected to a mass via a massless rope. The key equations involved are torque = I * angular acceleration and F = ma. The user is advised to avoid calculating internal forces and instead to derive an equation of motion for the entire system. This approach simplifies the problem and leads to the correct determination of the angular acceleration.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Familiarity with torque and its relationship to angular acceleration
  • Knowledge of moment of inertia (I) for pulleys
  • Basic principles of rotational dynamics
NEXT STEPS
  • Study the derivation of torque in rotational motion
  • Learn how to calculate the moment of inertia for different shapes, including pulleys
  • Explore the concept of equations of motion for systems involving pulleys
  • Investigate the relationship between linear and angular acceleration
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and rotational dynamics, as well as educators looking for examples of pulley systems in motion.

wiveykid
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Homework Statement


There is a object with mass m connected by a massless rope to a pulley with mass M and radius R. Find the angular acceleration of the pulley when the mass is let go.


Homework Equations


torque= I*angularacceleration(aa)=r*F
F=ma


The Attempt at a Solution



pulleys with mass give me trouble all around.
I know to find the angular acceleration i must find the tension of the the rope.
Fnet= T= mg-Fpulley
I do not know how to find the "force" of the pulley, or the torque. could anyone show me how to find the force of the tension.
 
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Welcome to PF!

Hi wiveykid! Welcome to PF! :smile:

(try using the X2 tag just above the Reply box :wink:)
wiveykid said:
I know to find the angular acceleration i must find the tension of the the rope.

Nope … try not to find internal forces you're not asked for! :wink:

Hint: look for an equation of motion of the system as a whole. :smile:
 

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