Swinging on a Vine? - Calculate Tension with Physics

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To calculate the tension in the vine while Tarzan swings, the problem involves analyzing the forces acting at the bottom of the swing. The gravitational force acting downward is calculated as F(gravity) = -mg, where m is Tarzan's mass and g is the acceleration due to gravity. At the lowest point, the tension in the vine must counteract gravity and provide the necessary centripetal force for Tarzan's circular motion. The discussion highlights the importance of drawing a free-body diagram to visualize the forces involved. Ultimately, the correct tension can be determined using the principles of dynamics and centripetal force.
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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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Draw a diagram listing all the forces.
hint there are two forces down at the bottom of the arc)
 


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)
 


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

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