Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Two forces are such that the sum of their magnitude is 18N, and their resultant is 12N which is perpendicular to the smaller force. Then the magnitude of the forces are<

Two forces are such that the sum of their magnitude is 18N, and their resultant is 12N which is perpendicular to the smaller force. Then the magnitude of the forces are

Option: 1

12N,6N


Option: 2

13N,5N


Option: 3

10N,8N


Option: 4

16N,2N


Answers (1)

best_answer

As we learned

Parallelogram law of vector addition -

If two vectors are represented by both magnitude and direction by two adjacent sides of a parallelogram taken from the same point then their resultant is also represented by both magnitude and direction taken from the same point but by diagonal of the parallelogram.

- wherein

Represents  law of parallelogram vector Addition

Resultant R is perpendicular to smaller force Q and (P+Q)=18N.

\therefore P^2=Q^2+R^2

 or  P^2-Q^2=R^2  or  (P+Q)(P-Q)=R^2

  or  18(P-Q)=(12)^2 or P-Q=8

\because P+Q=18

\therefore P+Q=18N

P-Q=8N

\Rightarrow P=13N,Q=5N

Posted by

Gautam harsolia

View full answer

Similar Questions