FBD of centripetal acceleration

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SUMMARY

The discussion focuses on creating a free body diagram (FBD) for an object in circular motion, specifically addressing the forces acting on the object. The primary forces identified are gravity and tension, with the equation for centripetal force given as T = mv²/r. The conversation clarifies that the net force acting on the object is the centripetal force, which is horizontal when the object is twirled in a horizontal circle. Additionally, the distinction between the forces acting on the object versus the string is emphasized.

PREREQUISITES
  • Understanding of free body diagrams (FBD)
  • Knowledge of centripetal force and its equation (T = mv²/r)
  • Familiarity with gravitational force (Fg = mg)
  • Concept of vector addition in physics
NEXT STEPS
  • Study the principles of circular motion and centripetal acceleration
  • Learn how to construct free body diagrams for various forces
  • Explore the relationship between tension and centripetal force in different scenarios
  • Investigate the effects of vertical versus horizontal circular motion on forces
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for clear explanations of forces in FBDs.

loopsnhoops
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Homework Statement



I need to make a free body diagram of an object being twirled around on a string in a circular motion. What forces are acting on it and what are there equations? For example I know that the force of gravity is acting on the string so I am showing the Fg = mg equation on my FBD. I need to know the equation for the tension or centripetal force? Is it T = mv^2/r?

Edit: Are the forces balanced when it is moving?
 
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Edit 2: What does my teacher mean when he says he wants me to find the acceleration due to gravity? Does it mean find the centripetal acceleration?
 
loopsnhoops said:

Homework Statement



I need to make a free body diagram of an object being twirled around on a string in a circular motion. What forces are acting on it and what are there equations? For example I know that the force of gravity is acting on the string so I am showing the Fg = mg equation on my FBD. I need to know the equation for the tension or centripetal force? Is it T = mv^2/r?

Edit: Are the forces balanced when it is moving?

I trust it was a typo when you said the "force of gravity on the string". Sure gravity will act on the string, but you were after forces on the object.

The forces acting are Gravity and Tension.

Is this object being twirled in a vertical or horizontal circle?
 
horizontal and it was a typo
 
loopsnhoops said:
horizontal and it was a typo

The only two forces acting are the field force [gravity] and the contact force [string, by tension]. Those two add [as vectors] to yield the net force - the centripetal force, which will be horizontal.
 

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