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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 4N, the individual forces are

A

3 N and 5 N

B

2 N and 6 N

C

1 N and 7 N

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`
`therefore Q-P=2`
`therefore Q-P=2`
Now, `(Q+P)=8 and (Q-P)=2`
`therefore`Add, we get 2Q=10
`therefore Q=5`,
`P=8-5=3`
The forces are 3N and 5N.
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