Circular motion of ball and string question

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SUMMARY

The discussion centers on the mechanics of a ball attached to a string undergoing circular motion, emphasizing the role of tension as the centripetal force. It clarifies that while tension acts inward on the ball, the ball exerts an equal and opposite force outward on the string, illustrating Newton's third law of motion. The concept of centrifugal force is addressed as a perceived force in a non-inertial frame of reference, not a real force acting on the ball. The conversation concludes that tension exists in both directions, with the ball's inertia attempting to maintain a straight-line motion when the string is released.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of circular motion dynamics
  • Familiarity with free body diagrams
  • Concept of inertial vs. non-inertial frames of reference
NEXT STEPS
  • Study the implications of centripetal force in circular motion scenarios
  • Explore the concept of inertial frames and their effects on perceived forces
  • Learn how to construct and analyze free body diagrams in various contexts
  • Investigate real-world applications of tension in strings and ropes under dynamic conditions
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of circular motion and the forces involved in dynamic systems.

sofiasherwood
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Lets say we have a ball on a string and we spin it around. The ball will undergo circular motion. The tension in the string is what provides the centripetal force, directed inwards. Then what would be the force directed outwards? (According to Newton's third law of motion). It can't be centrifugal, because that is not a real force. Or let's say if we were to draw a free body diagram of the ball, what forces would be present? Assuming there is no tangential acceleration and that the ball is traveling at a constant speed.
 
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The string pulls on the ball, and at the same time the ball pulls on the string. Equal and opposite forces.
 
sofiasherwood said:
Does that mean the ball is also causing tension in the string, pulling it outwards. Just as centripetal force is pulling it inwards. So do we have tension both ways? Or can tension only ever be one way?

Both ways.
See here for more: http://en.wikipedia.org/wiki/Tension_(physics )
 
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According to Newtons first law,the ball tries to move in a straight line.We are constantly changing it's direction.A force is required to change the direction of an object.So a centripetal force is provided.That's it.
 
Hi. The centrifugal force appears in the frame of reference of the ball( which is a non inertial frame). It never arises in the frame of reference of the ground. If we draw a free body diagram of the ball in the ground frame of reference, then the only forces acting on the ball will be the tension (=centripetal force) and gravitational force.Speaking of Newton's third law , you must remember that the equal-and-opposite pair of forces (in general ) will not act on the same body . Here the string exerts an inward force on the ball, and the ball exerts an outward force on the string , both being equal in magnitude. I hope this clears things for you .
 
Let's think for EXAMPLE,you are spinning a ball of mass 100KG(With a very strong rope and a thread.At a certain point,you release the strong rope.The ball will try to move in a straight line at a tangent.As the momentum will be very high,the centripetal force will also be high.The thread can't withstand the force provided,so it breaks.
 

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