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Sum of two forces acting at a point is 8...

Sum of two forces acting at a point is 8.N. If the resultant of the forces is at right angles to the smaller of the two forces and has a magnitude of 4 N, the individual forces are

A

3 N and 5N

B

2 N and 6N

C

1 N and 7N

D

0.5 N and 7.5 N

Text Solution

Verified by Experts

The correct Answer is:
A
In `DeltaDAC," "Q^2 = (4)^2 + P^2`
Given, `P+Q=8`
`Q^2 =P^2 = (4)^2`
`(Q-P) (Q +P)= 16`
`(Q-P)8=16`
`:. Q-P=2`
Now, `(Q + P)=8 and (Q - P) = 2`
`:. ` Add, we get 2Q = 10
`:. Q=5,`
`P=8-5=3`
The forces are 3 N and 5 N.
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