Need help with moment of inertia question

AI Thread Summary
The discussion revolves around calculating the moment of inertia (I) of a pulley connected to blocks, with one block moving up a frictionless incline at a constant acceleration of 2.00 m/s². The radius of the pulley is given as 0.250 meters. Participants analyze the forces acting on the blocks and the relationship between linear acceleration and angular acceleration of the pulley. The conversation emphasizes the need to apply Newton's second law and rotational dynamics principles to derive the moment of inertia. Ultimately, the goal is to solve for I using the provided parameters and equations of motion.
semaj810
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The blocks shown in the figure below are connected by a string of negligible mass passing over a pulley of radius r = 0.250 meter and moment of inertia I. The block on the frictionless incline is moving up with a constant acceleration of magnitude a = 2.00 m/s2. What is the moment of inertia I of the pulley?

Diagram:
https://ce.byu.edu/courses/univ/694820121006/media/l10g10.gif
 
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