Forces, Vectors, Angles, Magnitude, CONFUSED

In summary, the question asks for the magnitude of the resultant vector ~F, which is the sum of four vectors ~F1, ~F2, ~F3, and ~F4 with magnitudes of 59 N, 29 N, 11 N, and 60 N, respectively. The angles between each vector and the positive x-axis are 150°, -150°, 23°, and -56°, measured in a counterclockwise direction. To find the magnitude of ~F, we can use the parallelogram or triangle method of adding vectors. Starting with two vectors, we can find their resultant and continue adding the remaining vectors until we reach the final answer. The magnitude of ~F
  • #1
laurenwings5
5
0

Homework Statement


Consider four vectors ~ F1, ~ F2, ~ F3, and ~ F4 with
magnitudes F1 = 59 N, F2 = 29 N, F3 = 11 N,
and F4 = 60 N, θ1 = 150 ◦, θ2 = −150 ◦,
θ3 = 23◦, and θ4 = −56◦, measured from the
positive x-axis with counterclockwise positive.
What is the magnitude of the resultant vec-
tor ~F = ~ F1 + ~ F2 + ~ F3 + ~ F4?
Answer in units of N.


Homework Equations


I know you have to create vectors and add them, but I don't know how with the given information.


The Attempt at a Solution


...none.
 
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  • #2
you know parallelogram or triangle way of adding vectors,right?
Do it for 2 vectors first, finding their resultant, and use that and the next vector to get another resultant... continue and you will reach the answer.
 

Related to Forces, Vectors, Angles, Magnitude, CONFUSED

What are forces and how do they work?

Forces are a type of interaction between objects that cause them to accelerate or change their motion. They can be described as a push or pull on an object. According to Newton's second law of motion, the net force on an object is equal to its mass multiplied by its acceleration.

What is the difference between a vector and a scalar?

A vector is a quantity that has both magnitude and direction, while a scalar is a quantity that has only magnitude. For example, displacement, velocity, and acceleration are all vector quantities, while distance, speed, and time are scalar quantities.

How are angles measured and what do they represent?

Angles are measured in degrees or radians and represent the amount of rotation between two lines or planes. In a right triangle, angles are measured using the trigonometric functions sine, cosine, and tangent. In a circle, angles can be measured in terms of the arc length they subtend, or the fraction of the full circle they cover.

What is meant by the magnitude of a vector?

The magnitude of a vector is the size or length of the vector. It is a scalar quantity that represents the distance or strength of the vector. The magnitude of a vector can be calculated using the Pythagorean theorem, or by taking the square root of the sum of the squares of the vector's components.

Why do people often get confused when learning about forces and vectors?

Forces and vectors can be confusing because they involve complex mathematical concepts and require a strong understanding of physics. Additionally, the concept of directionality can be difficult for some people to visualize. It is important to practice and seek help when needed in order to fully understand these concepts.

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