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Gnesinka [82]
2 years ago
7

A monkey weighs 6.00 x 102 N and swings from vine to vine. As the monkey grabs a new vine, both vines make an angle of 35.0° wit

h the vertical. In such a condition of static equilibrium, what is the net force on the new vine? ANS: 366 N

Physics
1 answer:
zmey [24]2 years ago
4 0

Answer:

T=366.23\ N

Explanation:

Given:

  • mass of monkey, w=600\ N
  • angle of vine from the vertical, \theta=35^{\circ}

Now follow the schematic to understand the symmetry and solution via Lami's theorem.

<u>The weight of the monkey will be balanced equally by the tension in both the vines:</u>

Using Lami's Theorem:

\frac{w}{sin\ 70^{\circ}} =\frac{T}{sin\ 145^{\circ}}

\frac{600}{sin\ 70^{\circ}} =\frac{T}{sin\ 145^{\circ} }

T=366.23\ N

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