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Sum of magnitudes of two forces acting a...

Sum of magnitudes of two forces acting at a point is 16 N. If their resultant is normal to smaller force and has a magnitude 8 N, then forces are

A

(a) 6N, 10N

B

(b) 8N , 8N

C

(c ) 4N, 12N

D

(d) 2N, 14N

Text Solution

Verified by Experts

The correct Answer is:
(a)
`(16 - x)^(2) = 8^(2) + x^(2)`
`rArr x^(2) +256 -32x = 64 + x^(2)` `rArr 32x = 192`
x = 6 `rArr F_(1)= 6N, F_(2) = 16 - 6= 10N `
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