Conical Pendulum Problem: Mass, Length, and Revolutions Per Minute

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SUMMARY

The discussion revolves around solving the conical pendulum problem involving a 6 kg mass attached to a 10 m string, with the lower end positioned 8 m below the attachment point. The particle moves in a horizontal circle at 25 revolutions per minute. Key calculations include determining the radius of the circle, the angle the string makes with the vertical, the angular velocity in radians per second, and the tensions in both segments of the string.

PREREQUISITES
  • Understanding of conical pendulum dynamics
  • Knowledge of circular motion and angular velocity
  • Familiarity with tension forces in physics
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the radius of a conical pendulum using trigonometric relationships
  • Learn how to convert revolutions per minute to radians per second
  • Study the forces acting on a conical pendulum to derive tension equations
  • Explore advanced problems involving multiple forces in circular motion
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Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for examples of conical pendulum problems.

mohamed1993
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Homework Statement


A particle of mass 6 kg is attached to the centre B of a light inextensible string
of length 10m. One end of the string is attached to a point A and the other
end to a point C which is distance 8m directly below A. The particle is moving
in a horizontal circle, with both parts of the string taut, at 25 revolutions per
minute.
(i) Find the radius of the circle and the angle  that the string makes with
the vertical.
(ii) Find the angular velocity ! in radians/sec.
(iii) Find the tension T1 in AB and the tension T2 in BC.


Homework Equations





The Attempt at a Solution

 
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Hi mohamed1993,

Since you are new to Physics Forum I must tell you that posting a question is not enough. you must also show some of your work on the question and show where exactly you are having a problem.
 

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