Angular Acceleration of at woods machine

AI Thread Summary
The discussion revolves around calculating the acceleration of two masses in an Atwood's machine, taking into account the moment of inertia of the pulley. The user initially struggles with understanding torque and the normal force but later finds an online solution. They seek clarification on how to determine the tension on each side of the pulley, indicating that the tensions are not equal due to the pulley’s moment of inertia. The conversation highlights the complexities of analyzing systems with rotational dynamics. Understanding the differences in acceleration when the pulley’s moment of inertia is considered versus when it is ignored is crucial for solving the problem.
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Homework Statement



An Atwood's machine consists of two masses, m1 and m2, which are connected by a massless inelastic cord that passes over a pulley, Fig. 10-70. If the pulley has radius R and moment of inertia I about its axle, determine the acceleration of the masses m1 and m2 (a), and compare to the situation in which the moment of inertia of the pulley is ignored (a0). [Hint: The tensions FT1 and FT2 are not necessarily equal.] (Use m_1 for m1, m_2 for m2, R_0 for R0, and g and I as appropriate.)

10-70.gif


a= _________

a(0)= _________

Homework Equations



T = I * a(angular) = F*d*sin90

The Attempt at a Solution




Attempt at Solution: I was trying to sum the forces and use Torque but I have NO idea what Torque is or what the value of the normal force is. :(
 
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Before you mark this as solved, does anyone know how to find the tension on each side of the pulley?
 

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