Accelerating Masses: Solving for Acceleration using m1, m2, and g"

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Homework Help Overview

The discussion revolves around calculating acceleration in a system involving two masses (m1 and m2) and gravitational force (g). Participants are examining the formula a = (m2g)/(m1+m2) and its derivation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to verify the formula for acceleration and are questioning its derivation. Some are asking for clarification on how the formula was obtained, while others are providing their reasoning based on force equations for each mass.

Discussion Status

The discussion is active, with participants sharing their reasoning and questioning the assumptions behind the formula. There is a focus on understanding the derivation and the conditions under which the formula applies, but no consensus has been reached regarding the correctness of the answer.

Contextual Notes

Participants are noting the distinction between horizontal and vertical acceleration in their analyses, which may influence their interpretations of the problem. There is also an emphasis on the forces acting on each mass and how they relate to the overall acceleration.

Priyadarshini
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Homework Statement



WP_20160129_22_41_47_Pro.jpg

Homework Equations


a= (m2g)/(m1+m2)

The Attempt at a Solution


Which is option 4.
But the answer doesn't match
 
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Show how you got your answer.
 
Doc Al said:
Show how you got your answer.
The formula for acceleration here is:
m2g/(m1+m2)
So shouldn't that be the answer?
 
Priyadarshini said:
The formula for acceleration here is:
m2g/(m1+m2)
Why do you think that is the formula? How did you derive that?
 
Doc Al said:
Why do you think that is the formula? How did you derive that?
For m1:
T=m1a
the normal reaction force in the upwards direction = m1g
For m2:
m2g-T=m2a
so,
m2g-m1a=m2a
m2g=m1a+m2a
so acceleration = m2g/(m1+m2)
 
Priyadarshini said:
For m1:
T=m1a
Note that the acceleration here is the horizontal acceleration.

Priyadarshini said:
the normal reaction force in the upwards direction = m1g
For m2:
m2g-T=m2a
Here the acceleration is the vertical acceleration. (What must that equal?)
 

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