There are four forces acting at a point P produced by strings as shown in figure, which is at rest. The forces F1 and F2( in N ) are

Question

There are four forces acting at a point P produced by strings as shown in figure, which is at rest. The forces F1 and F2( in N ) are (A) 0.7,2.1 (B) 4.1,2.1 (C) 2.31,1.0 (D) 3.0,1.4

Tardigrade Admin · Accepted Answer

On resolving forces into rectangular components in the given figure as shown below

At equilibrium,

Σ F_{x} = 0

and

Σ F_{y} = 0

\Rightarrow 2 cos 4 5^{\circ} + sin 4 5^{\circ} = F_{2}

and

2 sin 4 5^{\circ} = F_{1} + cos 4 5^{\circ}

\Rightarrow F_{1} = 2 sin 4 5^{\circ} - cos 4 5^{\circ}

= 2 - \frac{1}{2}

= \frac{2 - 1}{2} = \frac{1}{2}

= 0.707 N ≃ 0.7 N

and

F_{2} = 2 + \frac{1}{2}

= \frac{2 + 1}{2} N = \frac{3}{2}

= 2.121 N ≃ 2.1 N

Q. There are four forces acting at a point P produced by strings as shown in figure, which is at rest. The forces F1​ and F2​( in N) are

0.7,2.1

4.1,2.1

2.31,1.0

3.0,1.4

Q. There are four forces acting at a point $P$ produced by strings as shown in figure, which is at rest. The forces $F_{1}$ and $F_{2} ($ in $N)$ are