Solving Vertical Force Problems with Force Decomposition | Statics

In this video, we dive into a practical problem: "How to pull a stake out of the ground with precision." Imagine you're in a situation where you need to ensure that the resultant force applied to a stake is perfectly vertical. To do this, we'll use the force decomposition method and trigonometry to determine the magnitude of force P required.
In this step-by-step tutorial, we'll guide you through the entire process, breaking it down into easy-to-follow segments. You'll learn how to calculate the magnitude of force P and how to determine the corresponding magnitude of the resultant
This video is perfect for engineering students, professionals, or anyone interested in practical applications of trigonometry and force analysis.

Problem Statement: A stake is being pulled out of the ground by means of two ropes as shown.Knowing that a = 30º, determine by trigonometry (a) the magnitude of the force P so that the resultant force exerted on the stake is vertical, (6) the corresponding magnitude of the resultant.

Answer:
a) 101.43 N
b) 196.6 N

In this vídeo:
00:00 Intro
00:39 Problem statement
01:02 Problem analysis
03:00 Force decomposition
06:36 Corresponding magnitude of the resultant
12:00 Final thoughts

🎓 Can you trust the answers and solutions provided? Well, you never should trust anything 100%. Make sure you are checking for yourself. When I’m solving the questions, I always solve on my own and then check the results against other sources. If there is divergence, I look for more sources. So while I can’t promise you everything will be 100% correct, I can promise I’ve done my due diligence before posting. If you enjoyed this video, please press the bell 🔔, like 👍, comment or share. You're the best, thanks!
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