Angular Acceleration of a system.

AI Thread Summary
The discussion revolves around calculating the angular acceleration of a system involving two pulley wheels with given radii and moment of inertia. The system includes two masses, m1 = 25 kg and m2 = 19 kg, attached to cords wrapped around the respective wheels. Participants suggest considering the torque produced by the tensions in the cords to solve the problem. The acceleration due to gravity is specified as 9.8 m/s², and the solution requires expressing the answer in rad/s². The conversation emphasizes the importance of understanding torque in relation to angular acceleration.
myr10
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Homework Statement



Two pulley wheels, or respective radii R1 =
0.34 m and R2 = 0.64 m are mounted rigidly
on a common axle and clamped together. The
combined moment of inertia of the two wheels
is I + 1.2 kg*m^2.
Mass m1 = 25 kg is attached to a cord
wrapped around the first wheel, and another
mass m2 = 19 kg is attached to another cord
wrapped around the second wheel.

The acceleration of gravity is 9.8 m/s^2 :
Find the angular acceleration of the system.
Take clockwise direction as positive. Answer
in units of rad/s^2.

Homework Equations


The Attempt at a Solution


im not sure how to go about solving this.
 

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myr10 said:
Two pulley wheels, or respective radii R1 =
0.34 m and R2 = 0.64 m are mounted rigidly
on a common axle and clamped together. The
combined moment of inertia of the two wheels
is I + 1.2 kg*m^2.
Mass m1 = 25 kg is attached to a cord
wrapped around the first wheel, and another
mass m2 = 19 kg is attached to another cord
wrapped around the second wheel.

Hi myr10! Welcome to PF! :smile:

(have a squared: ² and an omega: ω :smile:)

(I assume you meant to type I = 1.2 kg*m²)

Hint: what is the torque of the tensions in the two cords? :wink:
 
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