Question

A 500 N force makes an angle of 30 degree with the Y-axis in second quadrant. It's x-component is Select one:

1.

-250 N

2.

250 N

3.

250*√3 N

4.

-250*√3 N​

Answer 1

The Answer of this Question is 250 N

Answer 2

Given:

Force at an angle 30° with Y-axis = 500 N

To Find:

X-component of force.

Solution:

A force at an angle 30° with Y-axis will have two components,

• X-component
• Y-component

according to the theorem of vectors, "If a vector(v) makes an angle x with y-axis,

• its y component = vcos(x)
•      x component = vsin(x) "

Therefore,

X-component of force 500N at angle 30° with y = -500 sin(30)

    = 500 (1/2) {since force acting is in 2nd quadrant and sine is positive}

    = 250 N

Hence Option 2 is correct.