Question

Four forces P, 2P, 3P and 4P act along sides of a square taken in order. Find their resultant.

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Along side (1), it is $p\hat{i}$

Along side (2), it is $2p\hat{j}$
Along side (3), it is $-3p\hat{i}$

Along side (4), it is $-4p\hat{j}$
Therefore, the net force vector is $-2p\hat{i}+-2p\hat{j}$

its magnitude is,

$\sqrt{(-2p{)}^2+(-2p{)}^2}$

= $\sqrt{8p^2}$

=2$\sqrt{2}p$