Is the Net Force at the Bottom of a Vertical Circle Greater or Lower Than MG?

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SUMMARY

The net force at the bottom of a vertical circle is directed vertically upward and is greater in magnitude than the gravitational force (MG). This conclusion arises from the relationship between centripetal force, tension, and gravitational force. At the bottom of the circle, the net force is the result of the upward tension minus the downward gravitational force, ensuring that the centripetal force remains positive as long as tension exceeds MG. Therefore, the book's assertion that the net force is lower than MG is incorrect.

PREREQUISITES
  • Understanding of centripetal force and its role in circular motion
  • Knowledge of Newton's laws of motion
  • Familiarity with tension and gravitational forces
  • Basic principles of dynamics in physics
NEXT STEPS
  • Study the concept of centripetal acceleration in circular motion
  • Learn about the forces acting on objects in vertical circular motion
  • Explore the differences between tension at the top and bottom of a vertical circle
  • Review Newton's second law as it applies to circular motion scenarios
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Physics students, educators, and anyone interested in understanding the dynamics of circular motion and the forces involved in vertical circles.

HelloMotto
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You are whirling a rubber stopper of mass something attached to a string in a vertical circle at high constant speed. At the bottom of the circle, the net force that causes acceleration is

my answer was Vertically upward and greater in magnitude than MG.
but the answer in the book says
vertically upward and lower in magnitude than mg.

WHY? I don't get this.
At the bottom of the circle, The Centripetal force is the difference of Force tension pointing upwards and force of gravity pointing downwards. So if the netforce is smaller than MG, then there can't be a centripetal force...

please help me out.
 
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If I'm understanding you correctly, you are talking about the tension of bottom vs. top?

The top has less magnitude because the tension [up] is reduced by the Fg [down]. At the bottom, the magnitude is greater because it's tension [down] PLUS Fg [down].
 
You are thinking about the tension while they are asking about net force. As long as the tension is greater than MG, there will be some net centripetal force.
 

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