How Does Tension and Moment of Inertia Affect an Atwood Machine?

AI Thread Summary
In an Atwood machine with masses M1 = 490 g and M2 = 290 g, the heavier block descends 65 cm in 1.15 seconds, resulting in an acceleration of 0.983 m/s² and an angular acceleration of 19.3 rad/s² for the pulley. The tension T1 in the system needs to be calculated, considering that it exerts a torque on the pulley. The moment of inertia of the pulley is also required for a complete analysis of the system. The user is struggling to derive these values, indicating a need for clarification on the relationships between tension, torque, and moment of inertia. Understanding these concepts is crucial for solving the problem accurately.
hatingphysics
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In an Atwood machine, one block has a mass of M1 = 490 g and the other has a mass of M2 = 290 g. The frictionless pulley has a radius of 5.1 cm. When released from rest, the heavier block moves down 65 cm in 1.15 s (no slippage).

What is the tension T1?

Find the pulley's moment of inertia.

I found the magnitude of the acceleration of the lighter block (9.83×10-1 m/s^2 ) and the magnitude of the angular acceleration of the pulley (1.93×101 rad/s^2 ) but why can't I find the other 2 answers...HELP!
 

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Tension is a perpendicular torque on the pulley
 
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