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
Answers
Answered by
1
The Answer of this Question is 250 N
Answered by
0
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.
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