Kinematics: Understanding Tension in Strings

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    Strings Tension
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SUMMARY

This discussion focuses on the kinematic principles of tension in strings, specifically in a system where one mass supports another mass via a string. The key equations established are T1 = m1g + T2 for the first mass and T2 = m2g for the second mass, illustrating that the tension in the first string (T1) must balance the weight of the first mass (m1) and the tension from the second string (T2). The discussion emphasizes the importance of analyzing forces acting on each mass separately to accurately determine tension values.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with free body diagrams (F.B.D)
  • Basic knowledge of gravitational force (g)
  • Concept of equilibrium in physics
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  • Study the principles of tension in multi-mass systems
  • Learn how to construct and analyze free body diagrams
  • Explore the effects of acceleration on tension in strings
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Students studying physics, particularly those focusing on mechanics, educators teaching kinematics, and anyone interested in understanding the dynamics of forces in string systems.

sambarbarian
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I am trying to self learn kinematics , but i don't understand a certain concept :-


If a string hold a mass which in turn holds another mass by a string.

by F.B.D to in forming the first equation , we take T1 = m1g +t2

but shouldn't the second mass be included as well.

eg. if we are hanging something with a thread and someone hangs another string and mass to it , the strain on the first string is increases .

I am sorry for the vague outline i could give , hope you can understand it .
 
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Wouldn't that be included in the expression for T2?

T1 is the force needed to keep mass1 in equilibrium.
The forces actually "attacking" mass1 are the two tensions and its own weight.

T1 must be equal to, and oppositely directed to the sum of the two other forces attacking mass1.
------

Thus, when you do this problem, always keep in mind that we are tracking the forces attacking some material OBJECT, and we set up our equations for each object SEPARATELY.

Thus, you will ALSO have the equation:
T2=m2g, in order to keep mass2 in equilibrium.
 

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