Add forces as vectors help - Thanks

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Homework Help Overview

The discussion revolves around adding forces as vectors, specifically focusing on two forces acting at different angles. The original poster expresses confusion regarding the problem and seeks initial guidance on how to approach it.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the concept of vector addition, particularly with forces at right angles and other angles. There are attempts to clarify the process of finding resultant vectors and acceleration. Questions arise about the transition from vector components to resultant magnitude and direction.

Discussion Status

Some participants have provided insights into the use of the Pythagorean theorem and trigonometry for calculating vector magnitudes and angles. However, there is no explicit consensus on the overall understanding of the problem, and various interpretations are being explored.

Contextual Notes

The original poster has not provided specific details about the forces or the complete problem statement, which may affect the clarity of the discussion.

nukeman
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Homework Statement



I am not understanding this. This is the question, and the correct solutions for the question I need help with.

I really don't understand how to get the answer here! Can anyone help me? First steps?

Question:
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Answer:

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Homework Equations





The Attempt at a Solution

 
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Are you confident with the idea that you have 2 forces which are vectors.
In the first case the vectors (20N and 15N) are at 90 degrees. To find acceleration you divide F by m (5kg) giving 2 acceleration vectors 4 and 3 at 90 degrees.
You need to find the resultant of these 2 perpendicular vectors (pythagoras !)
In the second case the logic is the same but the angle is not 90 degrees.
Is this any help?
 
I understand how to get (4i + 3j) but how did they eventually come up with 5 m/s^2 at 36.9 degreeS?
 
The magnitude of the vector comes from the pythagorean theorem by treating the two vectors as perpendicular sides of a triangle. Trig is the best way to get the angle. How's your trig?
 

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