Answer

Verified

81.6k+ views

**Hint:**Vector resolution is a method in which a single vector is broken down into two or more smaller vectors. We need to apply vector resolution to find the component along the x axis and the y axis. Here the vector is at a 30 degree angle.

**Complete step by step solution:**

Here the vector can be broken down into two components one would be in x axis and another would be in y axis.

${F_x} = 10\cos \theta $;

The angle the axis is making with the vector would always be $\cos \theta $.

Now, we need to resolve for y axis:

${F_y} = 10\sin \theta $;

Now, we know the angle so, put it in the horizontal component as well as in vertical component.

${F_x} = 10\cos 30^\circ $;

$ \Rightarrow {F_x} = 10 \times \dfrac{{\sqrt 3 }}{2}$;

The horizontal component of the given vector is:

$ \Rightarrow {F_x} = 5\sqrt 3 $;

Now, the similar case is with the vertical component:

${F_y} = 10\sin 30$;

$ \Rightarrow {F_y} = 10 \times \dfrac{1}{2}$;

The vertical component is:

$ \Rightarrow {F_y} = 5$;

**Therefore, the horizontal and vertical components have been resolved and they are given as: horizontal component is ${F_x} = 5\sqrt 3 $ and the vertical component is ${F_y} = 5$.**

**Note:**Here I need to draw a graph and since there is no mentioning about the starting point of the vector in regard x axis or y axis so draw the vector at (0,0). Now, the axis that is not making an angle with the vector will always be sin and the vector which is making an angle with the vector would always be cosine.

Recently Updated Pages

Name the scale on which the destructive energy of an class 11 physics JEE_Main

Write an article on the need and importance of sports class 10 english JEE_Main

Choose the exact meaning of the given idiomphrase The class 9 english JEE_Main

Choose the one which best expresses the meaning of class 9 english JEE_Main

What does a hydrometer consist of A A cylindrical stem class 9 physics JEE_Main

A motorcyclist of mass m is to negotiate a curve of class 9 physics JEE_Main

Other Pages

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

Electric field due to uniformly charged sphere class 12 physics JEE_Main

Differentiate between homogeneous and heterogeneous class 12 chemistry JEE_Main

A rope of 1 cm in diameter breaks if tension in it class 11 physics JEE_Main

Assertion The melting point Mn is more than that of class 11 chemistry JEE_Main