Horizontal Circular Motion FBD Diagram Help

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SUMMARY

The discussion focuses on drawing a Free Body Diagram (FBD) for a rubber stopper in horizontal circular motion. The rubber stopper, when swung, experiences a downward gravitational force (Fg) and a tension force directed towards the center of rotation. The tension force is not purely horizontal; it acts at a slight angle, typically around 10 degrees below the horizontal. The centripetal force (Fc) is identified as the horizontal component of the tension force, which is essential for maintaining the circular motion.

PREREQUISITES
  • Understanding of Free Body Diagrams (FBD)
  • Knowledge of forces: gravitational force (Fg) and tension force
  • Concept of centripetal force (Fc) in circular motion
  • Basic principles of circular motion dynamics
NEXT STEPS
  • Study the relationship between tension and centripetal force in circular motion
  • Learn how to calculate the angle of tension in circular motion scenarios
  • Explore the effects of varying mass on tension and centripetal force
  • Investigate real-world applications of circular motion principles in physics experiments
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Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for practical examples of Free Body Diagrams in action.

BayernBlues
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Homework Statement


Draw and FBD of a rubber stopper (mass) in circular horizontal motion. Be realistic here: Is the tension force on the stopper truly horizontal?

This question is from an experiment where a rubber stopper is tied to a string and swung horizontally. When the question says "Be realistic here," it means that the rubber stopper is being swung horizontally but at a slight angle (such as 10 degrees) below the horizontal.


Homework Equations





The Attempt at a Solution



I know that there's going to be a Fg downwards on the stopper, and a Force of tension going from the stopper to the centre of rotation, but I'm not sure about other forces such as Fc and which direction it would be going.
 
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BayernBlues said:

Homework Statement


Draw and FBD of a rubber stopper (mass) in circular horizontal motion. Be realistic here: Is the tension force on the stopper truly horizontal?

This question is from an experiment where a rubber stopper is tied to a string and swung horizontally. When the question says "Be realistic here," it means that the rubber stopper is being swung horizontally but at a slight angle (such as 10 degrees) below the horizontal.


Homework Equations





The Attempt at a Solution



I know that there's going to be a Fg downwards on the stopper, and a Force of tension going from the stopper to the centre of rotation, but I'm not sure about other forces such as Fc and which direction it would be going.
You've got them all. When drawing a FBD, generally you look for two types of forces: gravity and contact. Here, you have correctly identified the gravity force (the objects weight) and the contact force (the tension in the cord).
The centripetal force is not an additional force; it is the horizontal component of the tension force that provides the inward centripetal acceleration necessary to keep the object moving in a horizonatal circle.
 
So Ftx and Fc are equivelant. That's good, I'm done that part then.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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