Finding the Magnitude of Force in each of two vines

In summary, a gorilla of mass 310 kg is hanging from two vines, each at a 30° angle from vertical. Using the equations Fg=mg and 2Ft sin60=Fg, the magnitude of the force of tension in each vine is found to be 17.5583 x 10² N.
  • #1
Scott Towers
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0

Homework Statement


A gorilla is hanging from 2 vines, each with an angle of 30° from perpendicular.
Find the Magnitude of the force of tension in each vine.
Object mass is 3.10 x 10² kg

I have made an attempt at this. I have attached my handwritten notes.
Lots of feedback please.

Thank you in advance!

Homework Equations


Fg=mg
2Ft sin60=Fg

The Attempt at a Solution


m = 310 kg
g = 9.81m/s²
Fg = 310*9.81
Fg = 3041.1N
2Ft sin60 = Fg
Ft = Fg/ (2)sin60
Ft = 3041.1/ (2).866
Ft= 3041.1/ 1.732
Ft= 17.5583x 10²
 

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  • #2
Scott Towers said:
A gorilla is hanging from 2 vines, each with an angle of 30° from perpendicular.

Is that 30° from vertical? If so, you're good!
 
  • #3
Yes. I'm sorry. The angle is from vertical.
 

Related to Finding the Magnitude of Force in each of two vines

1. How do you find the magnitude of force in each of two vines?

The magnitude of force in each of two vines can be found by using the equation F=ma, where F is the force, m is the mass, and a is the acceleration. The mass of the vines can be measured and the acceleration can be calculated by dividing the change in velocity by the change in time.

2. What is the unit of measurement for the magnitude of force?

The unit of measurement for the magnitude of force is Newtons (N). This unit is equivalent to 1 kg*m/s².

3. How do you measure the mass of the vines?

The mass of the vines can be measured using a scale or balance. The vines can be placed on the scale and the weight can be recorded in units of mass such as grams or kilograms.

4. Can the magnitude of force be negative?

Yes, the magnitude of force can be negative. Negative force indicates that the force is acting in the opposite direction of the motion or acceleration.

5. What factors can affect the magnitude of force in the vines?

The magnitude of force in the vines can be affected by the mass of the vines, the acceleration of the vines, and any external forces acting on the vines such as wind or gravity. Friction and air resistance can also affect the magnitude of force.

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