Question

Two forces F1 = 5i and F2 =5î - 7 î are acting upon a body of man 5 kg, then find the force F3 which
when acting on the body will make it stable.

​

Answer 1

Given:

Two forces F1 = 5i and F2 =5î - 7 î are acting upon a body of man 5 kg.

To find:

Force F3 which will make the body stable?

Calculation:

In order to make the body stable (at equilibrium), the vector addition of all the forces should be zero.

$\therefore \: \vec{F}1 + \vec{F}2 + \vec{F}3 = 0$

$\implies\: \vec{F}3 = - \vec{F}1 - \vec{F}2$

$\implies\: \vec{F}3 = - (\vec{F}1 + \vec{F}2)$

$\implies\: \vec{F}3 = - \{(5 \hat{i}) + (5 \hat{i} - 7 \hat{j}) \}$

$\implies\: \vec{F}3 = - \{10\hat{i} - 7 \hat{j} \}$

$\implies\: \vec{F}3 = - 10\hat{i} + 7 \hat{j}$

So, the required force F3 is :

$\boxed{ \bf\: \vec{F}3 = - 10\hat{i} + 7 \hat{j} }$

Answer 2

Answer:

Hi i am 9 standard student