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On the other side of the gorge, at the highest point of his swing, the vine makes an angle of \theta=40^\circθ=40 ​∘ ​​ from the vertical. At this point, Tarzan's speed is instantaneously zero (as he transitions from swinging up to swinging back again). What is the tension in the vine at the highest point of his swing?

Respuesta :

lcmendozaf

Answer:

[tex]T = m*g*cos\theta[/tex]

Explanation:

Since tarzan moves in a circular trajectory we can sum all forces on the centripetal-axis:

[tex]T - m*g*cos\theta = m*a_c[/tex]

[tex]T - m*g*cos\theta = m*V^2/R[/tex]   Since the speed is zero:

[tex]T - m*g*cos\theta = 0[/tex]

[tex]T = m*g*cos\theta[/tex] Having Tarzan's mass we could calculate the module of the tension in the vine.

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