Forces and laws of motion -- Big gorilla hanging from two vines

AI Thread Summary
The discussion revolves around calculating the tension in vines supporting a 310 kg gorilla hanging at a 30° angle from the vertical. Participants express confusion over the correct formula and the use of cosine in the calculations, particularly why it appears twice in the denominator. The textbook answer for the tension is 1.76 × 10^3 N, but one user arrives at a different value due to misinterpretation of the formula. The importance of drawing a free-body diagram to visualize the forces involved is emphasized as a crucial step in solving the problem accurately. Understanding the forces and angles is essential for correctly determining the tension in the vines.
HiReinhardt
Messages
2
Reaction score
0
About 50 years ago, the San Diego Zoo, in California, had the largest gorilla on Earth: its mass was about 3.10 × 102 kg. Suppose a gorilla with this mass hangs from two vines, each of which makes an angle of 30.0° with the vertical. Draw a free-body diagram showing the various forces, and find the magnitude of the force of tension in each vine. What would happen to the tensions if the upper ends of the vines were farther apart?
I've been trying 310kg * 9.8m/s2/(2)(cos30)*(cos-30). This gives me 3038/1.5 = 2.03*10^3N. The textbook answer is 1.76*10^3. What detail may I possibly be missing?
 
Physics news on Phys.org
Why did you divide by cosine twice?
Also, that's one absolute unit of a gorilla :)
 
I was trying to follow the solution my teacher edition gave. I have no idea where the 2 in the denominator came from either. I finally got the solution by adding (Cos30) + (Cos-30) in the denominator.
 
HiReinhardt said:
I was trying to follow the solution my teacher edition gave. I have no idea where the 2 in the denominator came from either. I finally got the solution by adding (Cos30) + (Cos-30) in the denominator.
Working backwards from the given answer is no way to do these problems. Why not try doing as suggested:
problem statement said:
Draw a free-body diagram showing the various forces,
 
  • Like
Likes HiReinhardt
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...

Similar threads

Back
Top