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One of the rectangular components of a f...

One of the rectangular components of a force of 40 N is `20 sqrt(3) N.` What is the other rectangular component ?

A

10 N

B

20 N

C

30 N

D

25 N

Text Solution

Verified by Experts

The correct Answer is:
B

The rectangular components of the force F are `F cos theta and F sin theta`, as shown in the figure.
Suppose that `F cos theta = 20 sqrt(3) N`
`therefore 40 xx cos theta = 20 sqrt(3) N`
`therefore cos theta =(20 xx sqrt(3))/(40) =(sqrt(3))/(2) therefore theta =30^(@)`
`therefore` The other component will be `F sin theta =40xx sin 30^(@) =40xx(1)/(2) =20 N`
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