Question

Three forces act on a body. Two of them are 7i-13j and 2i-11j. What is the value of the other force?​

Answer 1

SOLUTION

GIVEN

Three forces act on a body.

Two of them are

$7 \hat{i} - 13\hat{j} \: \: and \: \:2 \hat{i} - 11\hat{j}$

TO DETERMINE

The value of the other force

EVALUATION

Here it is given that three forces act on a body.

Two of them are

$7 \hat{i} - 13\hat{j} \: \: and \: \:2 \hat{i} - 11\hat{j}$

Sum of the two forces

$= ( 7 \hat{i} - 13\hat{j} ) + (2 \hat{i} - 11\hat{j} )$

$= 9 \hat{i} - 24\hat{j}$

Now to keep the body in equilibrium

Sum of the three forces must be zero

Hence the required other force

$= \hat{0} - ( 9 \hat{i} - 24\hat{j} )$

$= - ( 9 \hat{i} - 24\hat{j} )$

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