Question

find the two rectangular components of a force of 100N which is acting at an angle of 30 degree with x axis​

Answer 1

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Answer 2

SOLUTION

TO DETERMINE

The two rectangular components of a force of 100N which is acting at an angle of 30° with x axis

EVALUATION

Here it is given that a force of 100N which is acting at an angle of 30° with x axis

Thus angle = θ = 30°

So resolving the force of 100N in two rectangular components we get

Component along x axis

$\displaystyle \sf{ = F \cos \theta}$

$\displaystyle \sf{ = F \cos {30}^{ \circ} }$

$\displaystyle \sf{ = 100 \times \frac{ \sqrt{3} }{2} \: \: N}$

$\displaystyle \sf{ = 50 \sqrt{3} \: \: N}$

Component along y axis

$\displaystyle \sf{ = F \sin \theta}$

$\displaystyle \sf{ = F \sin {30}^{ \circ} }$

$\displaystyle \sf{ = 100 \times \frac{1 }{2} \: \: N}$

$\displaystyle \sf{ = 50 \: \: N}$

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