Question:
The $X$ and $Y$ components of a force $F$ acting at $30^\circ$ to $x-axis$ are respectively
The $X$ and $Y$ components of a force $F$ acting at $30^\circ$ to $x-axis$ are respectively
Updated On: May 21, 2023
- $\frac {F}{ \sqrt {2}},F$
- $\frac {F}{2} , {\frac {\sqrt{3}} {2}}F$
- ${\frac {\sqrt{3}} {2}}F,\frac {1}{2} F$
- $F,{\frac {F} {\sqrt{2}} }$
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The Correct Option is C
Solution and Explanation
$F_{x}=F \cos 30^{\circ}=\frac{\sqrt{3}}{2} F $
$F_{y}=F \sin 30^{\circ}=\frac{1}{2} F$
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration