Force Required to Accelerate M2 w/ Equal Masses M1 & M2

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To accelerate mass M2 upwards at acceleration A1, the force required must account for the diminishing influence of mass M1 as A1 increases. When A1 exceeds the acceleration due to gravity, the weight of M1 becomes negligible, allowing M2 to be accelerated independently. This means that the force needed to achieve the desired acceleration is primarily determined by M2's mass and the acceleration A1 itself. The initial counterbalance of M1's weight is effectively overridden in this scenario. Thus, the dynamics change significantly as acceleration increases beyond gravitational limits.
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I'm going to try to explain this as well as I can.

Two masses M1 and M2 are connected by chain and hung over a sprocket connected to the output shaft of a motor. We can assume M1 and M2 are equal. Normally, the weight of M1 counteracts the weight of M2 and there is no motion.

If I want to accelerate M2 upwards at acceleration A1, what would be the force required?

I thought this was simple at first, but the weight of M1 that is initially counteracting the weight of M2 diminishes as the acceleration A1 grows. If A1 is greater than the acc. of gravity then the weight of M1 is completely negligible. Is this correct?
 
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scratch that...brain failure
 
Last edited:
bmaderazo said:
If A1 is greater than the acc. of gravity then the weight of M1 is completely negligible. Is this correct?

Sure. Under those circumstances M1 no longer influences A1.
 

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