Solving a Tricky Physics Pulley Problem: Finding M2 with Tension and Mass M1

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SUMMARY

The discussion focuses on solving a physics problem involving two masses, M1 and M2, connected by a frictionless pulley. Participants utilize Newton's Laws to derive the relationship between the tension (T), mass M1, and mass M2. The final equations established are M2g - T = M2(T/M1) and M2 = (M1 + M2)a/g, emphasizing the importance of isolating M2 to find its value in terms of T and M1.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Familiarity with free body diagrams (FBD)
  • Basic knowledge of gravitational force calculations
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the application of Newton's Laws in pulley systems
  • Learn how to construct and analyze free body diagrams for complex systems
  • Explore the concept of tension in strings and its effects on connected masses
  • Practice solving problems involving multiple masses and forces in equilibrium
USEFUL FOR

Students in introductory physics courses, educators teaching mechanics, and anyone interested in understanding the dynamics of pulley systems and forces in motion.

  • #31
Thats correct.Leave m2 alone and you find the answer
 
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  • #32
For correction we know that m2g-T=m2a and T=m1a
so
m2g-m1a=m2a
m2g=(m1+m2)a

As we expected.
 
  • #33
Arman777 said:
For correction we know that m2g-T=m2a and T=m1a
so
m2g-m1a=m2a
m2g=(m1+m2)a

As we expected.
therefore since we're looking for m2 and only m2 we can simplify to m2=(m1+m2)a /g?
 
  • #34
soolights said:
oh, i missed that message, sorry
T=M1a , a = T/M1
M2g-T=m2a ,
M2g-T=M2(T/M1)
This is true.I just did that for to check that what we did was right or wrong.

The right equation is M2g-T=M2(T/M1).Leave M2 alone in this equation.Thats the answer.

sorry that I confused you
 
  • #35
Arman777 said:
This is true.I just did that for to check that what we did was right or wrong.

The right equation is M2g-T=M2(T/M1).Leave M2 alone in this equation.Thats the answer.

sorry that I confused you
no problem, but shouldn't you be right if we are solving for M2? all the m2 should be on the LHS right?
 
  • #36
I didnt understand you
 
  • #37
soolights said:
no problem, but shouldn't you be right if we are solving for M2? all the m2 should be on the LHS right?
I diddnt understand you
 
  • #38
Arman777 said:
Leave M2 alone in this equation.
That might be causing some confusion. You mean, manipulate the equation so that M2 is alone on one side of the equation, and does not occur on the other side.
(Leaving it alone would mean not doing anything with it.)
 
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