Physics question regarding Circular movement and tension

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SUMMARY

The discussion revolves around a physics problem involving a girl swinging on a maypole, with a mass of 36 kg and a speed of 2.0 m/s, creating tension in a rope at a 20-degree angle with the vertical. The participants calculated the vertical and horizontal components of tension, arriving at 360 N and 131.029 N respectively, while the total tension was initially miscalculated as 338.289 N but later corrected to 380 N. The net force acting on the girl and the radius of the circular motion remain unresolved, with the equation a = (v^2)/r being suggested for further exploration.

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  • Familiarity with trigonometric functions
  • Basic grasp of Newton's second law (f=ma)
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Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators seeking to clarify concepts related to tension and forces in dynamic systems.

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Homework Statement



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?

Homework Equations


trig, f=ma, some circular one

The Attempt at a Solution



a) 360N
b) =131.029N
c) 338.289N
d) ok this is the one I am stuck on at the moment

I'm thinking that i need to use this equation a=(v^2)/(r) but i don't have a clue what r is nor how to get it (which is question e)

thanks for any advice or help
 
Last edited:
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oh i looked at the answers and realized that c) is actually wrong the answer is 380N
what is an equation I can use to work out Tension?
 

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