Horizontal circle inside a cone

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SUMMARY

A 3kg ball moves in a horizontal circle with a radius of 2m inside a frictionless cone at an angle of 60 degrees. To determine the normal force acting on the ball and the time required for one complete revolution, apply Newton's second law both horizontally and vertically. The centripetal force is calculated using the equation Fc=mv²/r, where 'm' is the mass, 'v' is the velocity, and 'r' is the radius of the circle. A detailed analysis of force components is essential for solving this problem.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Knowledge of centripetal force calculations
  • Familiarity with trigonometric functions, particularly sine and cosine
  • Ability to interpret free-body diagrams
NEXT STEPS
  • Study the application of Newton's second law in circular motion
  • Learn how to resolve forces into components on inclined surfaces
  • Explore the concept of centripetal acceleration and its relation to circular motion
  • Practice solving problems involving frictionless surfaces and inclined planes
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of circular motion and force analysis in real-world applications.

blazeuofa
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Homework Statement


A 3kg ball moves at constant speed in a horizontal circle on the inside of a cone. The radius of the circle is 2m. Determine the magnitude of the normal force acting on the ball and the time required for the ball to complete exactly one circle. Assume that the surface of the cone is frictionless. Use [tex]\theta[/tex]= 60degrees. Hint: apply Newton's second law horizontally and vertically.


Homework Equations



Fc=mv^2/r

3. The Attempt at a Solution [/b

I have absolutely no idea where to begin any help is greatly appreciated!
 
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blazeuofa said:

Homework Statement


A 3kg ball moves at constant speed in a horizontal circle on the inside of a cone. The radius of the circle is 2m. Determine the magnitude of the normal force acting on the ball and the time required for the ball to complete exactly one circle. Assume that the surface of the cone is frictionless. Use [tex]\theta[/tex]= 60degrees. Hint: apply Newton's second law horizontally and vertically.


Homework Equations



Fc=mv^2/r

Draw a diagram.

What direction is your centripetal force?
What direction is gravity?

Which components of these forces are acting normal to the surface of the cone?
 

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