Question

In a given figure system is in equilibrium. If W1 - 300 N. Then W2, is approximately equal to​

Answer 1

Given:

The system is in equilibrium, such that W1 = 300N.

To find:

Value of W2.

Calculation:

Applying Lami's Theorem in the right junction:

$\dfrac{W1}{ \sin(180 \degree - 37 \degree) } = \dfrac{T2}{ \sin(90 \degree + 37 \degree) }$

$= > \dfrac{W1}{ \sin( 37 \degree) } = \dfrac{T2}{ \cos(37 \degree) }$

$= > \dfrac{300}{( \frac{3}{5} ) } = \dfrac{T2}{ ( \frac{4}{5} ) }$

$= > T2 = 400 \: N$

Applying Lami's Theorem at left junction:

$\dfrac{W2}{ \sin(180 \degree - 37 \degree) } = \dfrac{T2}{ \sin(90 \degree + 37 \degree) }$

$= > \dfrac{W2}{ \sin( 37 \degree) } = \dfrac{T2}{ \cos(37 \degree) }$

$= > \dfrac{W2}{( \frac{3}{5} ) } = \dfrac{400}{ ( \frac{4}{5} ) }$

$= > W2 = 300 \: N$

So, final answer is :

$\boxed{ \red{ \large{W2 = 300 \: N }}}$