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An Atwood machine consists of two masses m1 and m2 (with m1 > m2) attached to the ends of a light string that passes over a light

An Atwood machine consists of two masses m1 and m2 (with m1 > m2) attached to the ends of a light string that passes over a light, frictionless pulley. When the masses are released, the mass m1 is easily shown to accelerate down with an acceleration

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Suppose that m1 and m2 are measured as m1=100±1 gram and m2=50±1 gram. 

Derive a formula of the uncertainty in the expected acceleration in terms of the masses and their uncertainties, and then calculate δα for the given numbers.  

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