So I am having some trouble solving these equations

  • Thread starter Thread starter mazz1801
  • Start date Start date
Click For Summary
SUMMARY

The forum discussion centers on solving a set of equations related to basic calculus and mechanics. The equations involve variables T1, T2, a1, and a2, with specific relationships defined by forces and accelerations. The user initially struggled to combine the equations but ultimately found a solution. The key equations include m2g - T2 = m2(a1 - a2) and m3g - T2 = m3(a1 + a2), which are essential for deriving the values of the unknowns.

PREREQUISITES
  • Understanding of basic calculus principles
  • Familiarity with Newton's laws of motion
  • Knowledge of algebraic manipulation of equations
  • Concept of forces and accelerations in physics
NEXT STEPS
  • Study systems of equations in physics
  • Learn about Newton's second law and its applications
  • Explore methods for solving simultaneous equations
  • Investigate the role of tension in mechanical systems
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those focusing on mechanics and calculus. It is also useful for anyone looking to improve their problem-solving skills in algebra and physics-related equations.

mazz1801
Messages
22
Reaction score
0

Homework Statement



Elementary I know but could I please get some help solving the following four equations. It's simple calculus but I'm getting nowhere with what I have done!Solve for T1, T2, a1, a2

Homework Equations



m2g-T2 = m2 (a1-a2)
m3g-T2 = m3 (a1+a2)
T1-T2 = 0
T1-μm1g = m1a1(note that the the numbers after a and t are not numerical values. Just to show that the T1 has a different value for T2 etc. )

The Attempt at a Solution



So I have tried combining equations
m2g-T2 = m2 (a1-a2)
m3g-T2 = m3 (a1+a2)

and ended up with g = a1- a2(m2+m3)/(m2-m3)After that I just can't figure out what to do next!
any suggestions?
 
Physics news on Phys.org
Its ok... just got it!
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 34 ·
2
Replies
34
Views
4K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 97 ·
4
Replies
97
Views
17K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K