Resolving Vectors Questions & Answers Example 1

In previous articles we covered the topic of resolving vectors, mainly the headings: how to resolve a vector, definitions and a complete guide on how to go about splitting/resolving a vector into its perpendicular components and how to label them, in this article we will look at some examples on how to resolve vectors.

To read more on resolving vectors click here

Question # 1

Calculate the horizontal and vertical components of a 50N force which is acting 40 degrees to the horizontal.

vector
Vector


Answer: 


The question asked for the values of the horizontal and vertical components, so first you need to split the vector seen in the diagram above into its horizontal and vertical components:


resolved vector
Resolved Vector


Now that you have identified both components the next thing that needs to be done is to label the components. Look at the diagram above and find out which of the components is adjacent to the given angle and label it “F×cosθ”, where F is the force and θ is the given angle. Also find out which component is opposite to the given angle and label it “F×sinθ”. In this example the component adjacent to the given angle is the horizontal component so it is labeled 50×cos 40 degrees. The component opposite to the given angle is the vertical component so it is labeled 50×sin40 degrees.


Resolved Vector
Resolved Vector



Therefore your answer should be:

Horizontal component = 50×cos40
                                  = 38.30N

Vertical Component = 50×sin40
                               = 32.14N

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5 Response to Resolving Vectors Questions & Answers Example 1

Anonymous
December 5, 2015 at 1:01 PM

An object is being pulled with a magnitude of 87N. The direction of this force is 60 degrees above the x-axis. Calculate the x and y components.

Anonymous
September 19, 2016 at 10:00 PM

Take X as vertical component and Y as horizontal component

For X:
Sinθ= X/87 =87×Sin60
=75N

For Y:
Cosθ=Y/87
=87×Cos60
=43N

July 3, 2017 at 10:06 AM

Hi

July 3, 2017 at 10:06 AM

Hi

Anonymous
July 12, 2017 at 3:42 AM

Hi

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