Angular Acceleration/Tension - Need help , please

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The discussion revolves around solving a physics problem involving two pulleys with different radii and attached masses. The user is attempting to calculate the angular acceleration and tensions in the cords but is struggling with the calculations, particularly in part A. The correct approach involves using the net torque equation and considering the angular momentum of the masses. For parts B and C, it is suggested to apply the formula F = ma for each mass to find the tensions. Clarification on the calculations and methods is requested for accurate results.
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1. Homework Statement
Two pulley wheels, one of radius 0.5m and the
other of radius 1.75 m, are mounted rigidly on
a common axle. The rotational inertia of the
two pulleys, which are clamped together, is
1.5 kg*m2. A mass of 7.5 kg mass is attached
on the left and a mass of 5.5 kg mass on the
right, as shown.

Here is the image: http://yfrog.com/jwpulleyp

a.) Find the angular acceleration of the system. Take clockwise direction to be positive. Units in rad/s^2

b.) Find the tension in the cord attached to the 7.5 kg mass (units in N)

c.) Find the tension in the cord attached to the 5.5 kg mass (units in N)

2. Homework Equations

net torque = I * a

3. The Attempt at a Solution

Torque = I * a
Torque = m2*g*r2 - m1*g*r1
torque = 5.5*9.8*1.75 - 7.5*9.8*.5
= 57.58

a = Torque / I
=> 57.58 / 1.5 =38.39 rad/s2

Tried to submit the answer, but it was wrong. Don't know what I am doing wrong in part A. And I'm not sure how to do attempt Part b or c. Any advice appreciated!
 
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jaredsees said:
a = Torque / I
=> 57.58 / 1.5 =38.39 rad/s2

erm :redface: … don't the two masses have angular momentum also? :wink:

(and for the tension, use F = ma for each mass)
 
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