How to Calculate Tension and Velocity in a Rotational System?

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SUMMARY

The discussion focuses on calculating the angular velocity of a disk and the linear velocities of masses m and m' in a rotational system, given specific parameters: m = 600 g, m' = 500 g, M = 800 g, R = 8 cm, and r = 6 cm. Participants highlight the challenge of determining the moment of inertia due to insufficient information about the disks' thicknesses. A suggested approach is to assume that M represents the total mass of the pulley, which consists of two disk-shaped components of equal thickness and material properties.

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Homework Statement



http://imageshack.us/photo/my-images/545/rotacion1.jpg/
Translation: Determinate, for the system of Fig. 10-39 the angular velocity of the disk and the linear velocity of m and m'. Calculate the tension in each string. Suposse that m = 600 g, m' = 500 g, M = 800 g, R = 8 cm and r = 6 cm.


Homework Equations





The Attempt at a Solution


The problem is I don't know to get the moment of inertia because I have the mass of one disk only.
 
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I agree, it looks like you were not given enough information.

One could assume that M was for both discs, but you would still need to know the thicknesses of the two discs which you could estimate if you had to.

Bad problem.
 
Solve the problem assuming that M is the mass of the whole pulley that consist of two disk-form parts of the same thickness, made of the same material. Usually the problem writers think in 2D where thickness does not exist.:wink:

ehild
 

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