Find magnitude of the force of tension?

AI Thread Summary
The problem involves calculating the tension in two vines supporting a gorilla with a mass of 310 kg, hanging at a 30-degree angle with the vertical. The gravitational force acting on the gorilla is calculated as 3038 N. To find the tension in each vine, a free-body diagram should be drawn to visualize the forces acting on the gorilla. The upward tension forces must equal the downward gravitational force for equilibrium. Clarification on the correct approach to calculate the tension is needed, emphasizing the importance of analyzing all forces involved.
TLink11
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Homework Statement


About 50 years ago, the San Diego Zoo, in California, had the largest gorilla on Earth: its mass was about 3.10 * 10^2 kg. Suppose a gorilla with this mass hangs from two vines, each which makes an angel of 30 degrees with the vertical. Draw a free-body diagram showing these various forces, and find the magnitude of the force of tension in each vine.
m = 310kg
angle of each vine = 30
g= 9.8 m/s

Homework Equations


Force = m * g

The Attempt at a Solution


F = 310 * 9.8 = 3038N
Cos30 * 3038N = 2630.985177N <- Would this be the tension for each vine? I'm not good at physics so I need confirmation/help.
 
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TLink11 said:

The Attempt at a Solution


F = 310 * 9.8 = 3038N
Cos30 * 3038N = 2630.985177N <- Would this be the tension for each vine? I'm not good at physics so I need confirmation/help.
No, it doesn't work out that way.
Did you draw a free-body diagram showing all the forces acting on the gorilla? Do that, then answer these questions:

What is the downward force (or forces) acting on the gorilla?
What is the upward force (or forces) acting on the gorilla?

That should help you towards solving the problem.
 
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