Vertical Circles: Centripetal Force & Tension

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SUMMARY

The discussion centers on the behavior of centripetal force and tension in vertical circular motion. It is established that while the net centripetal force remains constant, the tension in the string varies depending on the position of the rotating body. At the highest point of the circle, the tension (T) and gravitational force (mg) together provide the necessary centripetal force, whereas at the lowest point, the tension must counteract gravity, resulting in T - mg providing the centripetal force. This variation is crucial for understanding dynamics in vertical circular motion.

PREREQUISITES
  • Understanding of centripetal force and its formula, f = mv²/r
  • Knowledge of gravitational force and its impact on objects in motion
  • Familiarity with the concept of tension in strings or ropes
  • Basic principles of circular motion
NEXT STEPS
  • Explore the derivation and applications of the centripetal force formula, f = mv²/r
  • Study the effects of gravitational force on objects in vertical circular motion
  • Investigate the role of tension in various physical systems, particularly in pendulums
  • Learn about energy conservation in vertical circular motion scenarios
USEFUL FOR

Physics students, educators, and anyone interested in the dynamics of circular motion will benefit from this discussion, particularly those focusing on forces and motion in a gravitational field.

binbagsss
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Does the magnitude of centripetal force as well as the tension change in a vertical circle?
 
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The net centripetal force don't change but as the direction of gravity wrt the rotating body change .. tension change

like, T+mg provide centripetal force when body is at highest point but its T-mg at lowest point
 
cupid.callin said:
The net centripetal force don't change but as the direction of gravity wrt the rotating body change .. tension change

like, T+mg provide centripetal force when body is at highest point but its T-mg at lowest point

f=mv^2/r, why does v changee thenn? :confused:
 

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