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Rate of acceleration and tension of wire in pulley problem

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Please explain how to find acceleration of the system and tension of the wire in the following case:

A mass (m=1.4kg) sits on a frictionless table. Another mass is connected to it by a wire over a frictionless pulley (mass of second object = 1.6kg).

See attached file for figure.

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Solution Summary

The rate of acceleration and tension of wire in pulley problems are determined. Frictionless tables are analyzed.

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I have drawn a picture similar to your pic, with all the forces and accelerations drawn - this pic is attached as a jpg file.

As the system is assumed ideal - there is no friction, the wire and the pulley are massless, etc, the accelerations a_1 and a_2 ...

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