Find Angular Acceleration of Pulley w/ Mass & Rope Connected

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To find the angular acceleration of a pulley connected to a mass via a massless rope, it's essential to determine the tension in the rope. The net force acting on the mass can be expressed as F_net = T = mg - F_pulley. The torque on the pulley is related to the tension and can be calculated using the equation torque = I * angular acceleration. Instead of focusing on internal forces, it's advised to consider the overall motion of the system. Understanding these principles will help in solving the problem effectively.
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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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