Steve4Physics
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Another way to get the initial direction is to consider the height of the system's centre-of-gravity (CoG).
When released from rest, the CoG must move downwards, converting gravitational potential energy to kinetic energy (and to heat).
This happens when the height of the heavier object (B) decreases and the height of the lighter object (A) increases.
(If the CoG moved upwards, this would violate the conservation of energy: gravitational potential energy, kinetic energy and heat would need to be created out of nowwhere.)
When released from rest, the CoG must move downwards, converting gravitational potential energy to kinetic energy (and to heat).
This happens when the height of the heavier object (B) decreases and the height of the lighter object (A) increases.
(If the CoG moved upwards, this would violate the conservation of energy: gravitational potential energy, kinetic energy and heat would need to be created out of nowwhere.)