Home
Class 11
PHYSICS
The X and Y components of a force F acti...

The X and Y components of a force F acting at `30^(@)` to x-axis are respectively :

A

`(F)/(sqrt2), F`

B

`(F)/(2), (sqrt3)/(2) F`

C

`(sqrt3)/(2)F, (1)/(2)F`

D

`F, (F)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`vec(F)= F_(x) hat(i) + F_(y) hat(j)`
`= (F cos theta) hat(i) + (F sin theta) hat(j)`
`theta= 30^(@)`
`vec(F)= ((sqrt3)/(2)F) hat(i) + ((1)/(2)F) hat(j)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The x and y components of a a force are 2N and -3N . The force is

The x and y components of a vector are 4sqrt3 m and 4 m respectively. What angle does the vector make with positive x-axis ?

The x and y-components of vector A are 4 m and 6 m respectively. The x and y-components of vector A + B are 10 m and 9 m respectively. Calculate for the vector B the following: (a) its x and y-components (b) its length (c ) the angle it makes with x-axis.

Two vectors ( veca and vecb ) have equal magnitudes of 12 units. These vectors are making angles 30^(@) and 120^(@) with the x-axis respectively. Their sum is vec r .Then the x and y components of r are

A body has an acceleration of 3.00" m"//"s"^(2) at 30.0^(@) to the positive direction of an x axis. The mass of the body is 2.00 kg. Find (a) the x component and (b) the y component of the net force acting on the body. ( c ) What is the net force in unit-vector notation ?

Three components of a force acting on a particle are varying according to the graphs as shown. To reach at point B(8, 20, 0)m from point A(0, 5, 12)m the particle moves on paths parallel to x-axis then y-axis and then z-axis, then work done by this force is:

What displacement at an angle 60^(@) the x - axis has an x-component of 5m?i and j are unit vectors in x and y directions,respectively.

There exist a vector making angles 30^(@) and 45^(@) with x -axis and y -axis respectively.