3. A force of 10N is making an angle of 30° with the x- axis. Its horizontal component will be??
Answers
hello mate,
horizontal component is the force that is applied as a result of the diagonal application of force.
here in this case,
given diagonal force =10N.
angle= 30°
horizontal component is found using trigonometry..
so,
A vector of magnitude 10 N is provided.
It is at an angle of 30° to the + x axis.
To find:
The components along the x and y axis.
Calculation:
Along x axis:
F(x) = F cos(θ)
=> F(x) = 10 × cos(30)
=> F(x) = 10 (√3/2) = 5√3N
Along y axis:
F(y) = F sin(θ)
=> F(y) = 10 sin(30°)
=> F(y) = 10 × ½
=> F(y) = 5 N.
Additional information:
1. A vector is a quantity that can be defined with both magnitude and direction.
2. Since force is a vector, we are able to break it down into components along chosen axis.
hope this helps you.
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Vertical element is the force that's applied as a result of the slant operation of force.
then in this case,
given slant force = 10N. angle = 30
vertical element is set up using trigonometry.
So,
A vector of magnitude 10 N is handed.
It's at an angle of 30 ° to the x axis.
To find
The factors along the x and y axis.
computation-
Along x axis-
F( x) = vdash cos( θ)
= > F( x) = 10cos( 30)
= F( x) = 10( √/ 2) = 5 √ 3N Along y axis
F( y) = F × sin( θ)
= > F( y) = 10 sin( 30)
= > F( y) = 10 ×1/2
= > F( y) = 5N
fresh information
1. A vector is a volume that can be defined with both magnitude and direction.
chosen axis.
2. Since force is a vector, we're suitable to
break it down into factors along
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