The system shown in the figure below consists of a mass M = 4.3-kg

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The system consists of a 4.3-kg block on a frictionless ledge and a 1.6-kg hanging block connected by a string over a pulley. To find the acceleration of both blocks, analyze the forces acting on each mass and the pulley, applying Newton's second law to derive three equations. The moment of inertia for the pulley is calculated using I = 0.5 * M * R^2, resulting in I = 0.00192 kg·m². By solving these equations simultaneously, the tensions in the string and the acceleration of the blocks can be determined. Understanding the relationship between the forces and the pulley dynamics is crucial for solving the problem accurately.
astr0
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The system shown in the figure below consists of a mass M = 4.3-kg block resting on a frictionless horizontal ledge. This block is attached to a string that passes over a pulley, and the other end of the string is attached to a hanging m = 1.6-kg block. The pulley is a uniform disk of radius 8.0 cm and mass 0.60 kg.
10pokk6.gif

What is the acceleration of each block?
What are the two tensions in the string?

I know that I can find the moment of inertia with I = 0.5*M*R^2
Therefore, I = 0.00192

But, I don't understand how to find the acceleration of the blocks. I know that the acceleration of each block will be the same, but I do not understand how I can find it with the given information.
 

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astr0 said:
But, I don't understand how to find the acceleration of the blocks. I know that the acceleration of each block will be the same, but I do not understand how I can find it with the given information.
Start by analyzing the forces acting on each mass and on the pulley. Apply Newton's 2nd law to each, giving you three equations. Solve those equations to find the tensions and the acceleration.
 

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