What is the tension in the strings when the slender bar begins oscillating

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SUMMARY

The discussion focuses on determining the tension in the strings supporting a uniform slender bar that begins to oscillate after being slightly knocked. The bar, with mass m and length 2b, rotates around a vertical axis with an initial angular velocity ω0. To find the tension in the strings during rotation, one must apply dynamics rather than equilibrium equations, as the latter become invalid once the bar is in motion. Additionally, the rotation angle at which the center of mass reaches its highest position can be analyzed using conservation of mechanical energy principles.

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Ayenyen
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Homework Statement


There is a uniform slender bar which is suspended by two light inextensible strings and hangs in equilibrium. (if the mass and length of the bar are m and 2b )

Now, someone slightly knocks one end to make the bar rotate around the vertical axis with initial angular velocity ω0.

I want to know two things

(1) what is the tension in the strings when the slender bar begins to rotate?

(2) What is the rotation angle of the bar when the center of mass reaches its highest position?
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Homework Equations


[/B]
ΣF=0,ΣMG=0 equilibrium equations

ΔT=−ΔV Low of conservation of mechanical energy

The Attempt at a Solution



Can I use the equilibrium equations and conservation of mechanical energy for these problems?
 
Last edited:
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Ayenyen said:

Homework Equations


[/B]
ΣF=0,ΣMG=0 equilibrium equations

ΔT=−ΔV Low of conservation of mechanical energy

The Attempt at a Solution



Can I use the equilibrium equations and conservation of mechanical energy for these problems?
Once the bar is set into rotation, the equilibrium equations are no longer valid. Question (1) will require application of dynamics.
 

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