Swinging on a Vine? - Calculate Tension with Physics

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In summary, the problem involves finding the tension in a vine as Tarzan swings through the bottom of an arc with a given length and mass. The solution involves using the angular momentum principle and drawing a diagram to identify the two forces at the bottom of the arc: tension and gravity. The tension can be found by considering the centripetal force.
  • #1
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swinging on a vine??

Homework Statement



Consider the example of Tarzan swinging on a vine. Let the length be L = 10 m, and Tarzan
has a mass of M = 70 kg. The figure shows him swinging through the bottom of the arc,
where at that instant he has a speed of 13.0 m/s. What is the tension in the vine?

A. 686 N
B. 823 N
C. 1869 N
D. 1153 N
E. 1335 N


The Attempt at a Solution



is there an easier way to solve this instead of using the angular momentum principle?? if so how??
 

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  • #2


Draw a diagram listing all the forces.
hint there are two forces down at the bottom of the arc)
 
  • #3


mgb_phys said:
Draw a diagram listing all the forces.
hint there are two forces down at the bottom of the arc)


i know there is the F(tension) which points up. and the F(gravity) pointing down.
F(gravity) = -mg
but how do you know the F(tension)
 
  • #4


never mind i got it. forgot centripital force :)
thanks
 

What is swinging on a vine?

Swinging on a vine is a physical motion that involves hanging onto a flexible and sturdy object, such as a tree branch or rope, and using it to propel oneself forward and back.

How does swinging on a vine work?

Swinging on a vine works by utilizing the principles of physics, specifically the concepts of tension and gravity. As the person hangs onto the vine, their weight creates tension in the vine, which allows them to swing back and forth.

What is tension?

Tension is a force that occurs when an object is pulled or stretched. In the case of swinging on a vine, the tension is created by the weight of the person hanging onto the vine. This tension is what allows the person to swing back and forth.

How is tension calculated in swinging on a vine?

Tension can be calculated using the formula T = mg + ma, where T is the tension force, m is the mass of the person, g is the acceleration due to gravity, and a is the acceleration of the person swinging.

What factors can affect the tension in swinging on a vine?

The tension in swinging on a vine can be affected by several factors, including the weight of the person, the length and strength of the vine, and the angle at which the person is swinging.

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