A pig hanging from a string going in a circle.

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The discussion centers on a problem involving uniform circular motion, specifically a pig hanging from a string that rotates below the horizontal. The tension in the string is resolved into vertical and horizontal components, with the vertical component balancing the weight of the pig and the horizontal component providing the centripetal force. The equations derived include T*cosθ = mg for the vertical component and T*sinθ = centripetal force for the horizontal component. The user confirms their logic by dividing the equations to relate tension and centripetal force. Overall, the equations and reasoning presented are deemed correct.
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Homework Statement


This is me paraphrasing. It's about uniform circular motion. The question involves a pig on a string dangling below a motor. It rotates in a circle below the horizontal.

Resolve the tension vector into components. The vertical component of tension is equal to the weight. The horizontal component is equal to the centripetal force. Find centripetal force.

I'm not really concerned with the numbers I have but just if my logic is correct.

Homework Equations



Using the angle the string makes with the vertical not the horizontal.

T* cosθ = mg eq 1

T*sinθ = centripetal force. eq 2

The Attempt at a Solution



Dividing equation 2 by equation one gives you

T*tanθ = centripetal force/mg

So m*g*T*tanθ = centripetal force.
 
Last edited:
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Did I phrase the question poorly. If so my apologies.

It's a pig on a string that is hanging from the ceiling. It's spinning around, but not fast enough that it spins completely horizontally.
 
your equations and logic are correct
 

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