Question

If three concurrent forces A, B and C are acting at a point and the angle between
each force is 1200. If force B = 10 N then the value of force A and force Cis
respectively.​

Answer 1

Answer:

a force = 20 and c Forse = 30

Answer 2

Note: The correct question must be-

If three concurrent forces A, B and C acting at a point and the angle between each force is 120°. If force B=10N, then the value of force A and force C is?

"When three forces acting at a place are in equilibrium, each force is proportional to the sine of the angle between the other two forces," according to Lami's Theorem.

It is written as,

$\frac{A}{sin\alpha}=\frac{B}{sin\beta} =\frac{C}{sin\gamma}$

in mathematical or equation form.

Where,

$A,B$and $C$ are the acting forces while $\alpha,\beta$ and$\gamma$ are the angles made by the forces with each other

Given data,

$\alpha=\beta=\gamma=120\circ$

$B=10N$

To find the acting forces $A$ and $C$,

Using Lami's Theorem,

$\frac{A}{sin120\circ}=\frac{B}{sin120\circ} =\frac{C}{sin120\circ}$

$\frac{A}{\frac{\sqrt{3} }{2} }=\frac{10}{\frac{\sqrt{3} }{2}} =\frac{C}{\frac{\sqrt{3} }{2} }$

$\therefore A=C=10N$

Hence, the acting forces are $10 N$and $10 N$ respectively.