An Atwoods machine consists of two masses, m1 and m2, connected by a string that

Question

An Atwoods machine consists of two masses, m1 and m2, connected by a string that passes over a pulley. If the pulley is a disk of radius R and mass M, find the acceleration of the masses. Please explain the solution.

Explanation / Answer

for m1,,,: F = m1= T1 - m1g---->(1) ,,,,,,,,For m2:............. F = m2a = m2g - T1----->(2),,,,,,,,,,, For the pulley, you write the rotational analog of Newton's 2nd law: T = I? = rF,,,,,,,,,,,,,,, Since angular acceleration (?) equals a / r, and the force F acting on the pulley is the two tensions, this becomes: Ia / r = r(T? - T?),,,,,,,,,,,,,, Ia / r

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