Physics Tension Question, Need help

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SUMMARY

The discussion centers on calculating the tension components in a rope when a girl of mass 36 kg swings on a maypole at a speed of 2.0 m/s, with the rope making a 20-degree angle with the vertical. The vertical component of the tension (T_v) is established as 360 N using the formula T = mg. The user seeks assistance with calculating the horizontal component of tension (T_h), the total tension (T), the net force acting on the girl, and the radius of the circular motion (r). The solution involves applying trigonometric relationships and Newton's second law in conjunction with centripetal acceleration principles.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Basic knowledge of trigonometry and Pythagorean theorem
  • Familiarity with centripetal acceleration concepts
  • Ability to calculate forces in two dimensions
NEXT STEPS
  • Calculate the horizontal component of tension using T_h = T * sin(θ)
  • Determine the total tension in the rope using T = √(T_v² + T_h²)
  • Find the net force acting on the girl using F_net = T_h
  • Apply centripetal acceleration formula a_c = v²/r to solve for the radius r
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators seeking to clarify concepts related to tension and circular motion.

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Physics Tension Question, Need urgent help

A Girl is swinging on a maypole in a playground. The Girl has a mass of 36Kg and, when she is moving with speed of 2.0m/s, the light rope makes an angle of 20 Degrees with the vertical. Consider the motion of the center of mass of the girl, which movies in a circle of radius r


A) What is the vertical Component of the Tension in the Rope?

B)What is the horizontal component of the tension in the Rope?

C)What is the tension in the rope?

D) What is the net force acting on the girl?

E)What is the radius of the circle?

Any Help would be Very Helpful. I did Part A with T=mg and got the correct answer of 360N, but i am stuck with B-E.
 
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If you got the vert comp. of the tension correct (T_v), implying no net force in the vert direction, then the horiz comp. T_h, and Tension (T) comes from trig and the pythagorean theorem. Find the net force in horiz direction and apply Newton 2 and your knowledge of centripetal acceleration to solve for r.
 

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