Question

Find the two rectangular components of a force of 100N which is acting at angle of 30⁰with x-axis

Answer 1

Answer:

जिंदगी के लिये जान ज़रूरी है, जीने के लिये अरमान ज़रूरी है, हमारे पास हो चाहे कितना भी गम, लेकिन तेरे चहरे पर मुस्कान ज़रूरी है।

Answer 2

Answer:

The rectangular components of $100N$ force which is acting at an angle of

$30$⁰with the x-axis, is $86N$ along the x-axis and $50N$ along the y-axis

Explanation:

A vector is a physical quantity that has both magnitude and direction, by resolving a vector we get different directions of the vector.

When a vector is inclined to an angle of θ with the x-axis, the component of that vector along the x-axis is $F_{x}=F cos$θ as shown in the picture below.

It is given that magnitude of the force $F=100N$ and angle of inclination

θ$=30$⁰, after substitution we get $F_{x} =100*cos30=100*0.86=86N$

The component of the vector along the y-axis is $F_{y} =F sin$θ as shown.

that is $F_{y}=100*sin30=100*0.5=50N$