There are four forces acting at a point $P$ produced by strings as shown in figure. Which is at rest ? Find the forces $F_1$ and $F_2$.
There are four forces acting at a point $P$ produced by strings as shown in figure. Which is at rest ? Find the forces $F_1$ and $F_2$.
Let $\mathrm{F}_{3}=1 \mathrm{~N}$ (given)
$\mathrm{F}_{4}=2 \mathrm{~N}$ (given)
String is at rest,
$\Sigma \overrightarrow{\mathrm{F}}=0$
$\Sigma \mathrm{F}_{x}=0$
$\mathrm{~F}_{2}+1 \cos 45-2 \cos 45=0$
$\mathrm{~F}_{2}+\cos 45(1-2)=0$
$\mathrm{~F}_{2}+\frac{1}{\sqrt{2}}(-1)=0$
$\mathrm{~F}_{2}=\frac{1}{\sqrt{2}} \mathrm{~N}$
$\Sigma \mathrm{F}_{y}=0$
$1 \sin 45+2 \sin 45-\mathrm{F}_{2}=0$
$3 \sin 45-\mathrm{F}_{2}=0$
$\mathrm{~F}_{2}=3 \sin 45$
$=\frac{3}{\sqrt{2}}$
$=2.121 \mathrm{~N}$
Similar Questions
Block $A$ of mass $4 \;kg$ is to be kept at rest against a smooth vertical wall by applying a force $F$ as shown in figure. The force required is .......... $N$ $\left(g=10 m / s ^2\right)$
Block $A$ of mass $4 \;kg$ is to be kept at rest against a smooth vertical wall by applying a force $F$ as shown in figure. The force required is .......... $N$ $\left(g=10 m / s ^2\right)$
A mass of $10 \,kg$ is suspended vertically by a rope of length $5 \,m$ from the roof. A force of $30 \,N$ is applied at the middle point of rope in horizontal direction. The angle made by upper half of the rope with vertical is $\theta=\tan ^{-1}\left(x \times 10^{-1}\right)$. The value of $x$ is ................
$\text { (Given } g =10 \,m / s ^{2} \text { ) }$
A mass of $10 \,kg$ is suspended vertically by a rope of length $5 \,m$ from the roof. A force of $30 \,N$ is applied at the middle point of rope in horizontal direction. The angle made by upper half of the rope with vertical is $\theta=\tan ^{-1}\left(x \times 10^{-1}\right)$. The value of $x$ is ................
$\text { (Given } g =10 \,m / s ^{2} \text { ) }$
- [JEE MAIN 2022]
A dynamometer $D$ is attached to two blocks of masses $6 \,kg$ and $4 \,kg$ as shown in the figure. The reading of the dynamometer is ............ $N$
A dynamometer $D$ is attached to two blocks of masses $6 \,kg$ and $4 \,kg$ as shown in the figure. The reading of the dynamometer is ............ $N$
Two masses of $10 \,kg$ and $20 \,kg$ respectivety are connected by a massless spring as shown in fig. A force of $200 \,N$ acts on the $20 \,kg$ mass At the instant shown the $10 \,kg$ mass has acceleration $12 \,m / s ^2$ towards right. The acceleration of $20 \,kg$ mass at this instant is ........ $m / s ^2$
Two masses of $10 \,kg$ and $20 \,kg$ respectivety are connected by a massless spring as shown in fig. A force of $200 \,N$ acts on the $20 \,kg$ mass At the instant shown the $10 \,kg$ mass has acceleration $12 \,m / s ^2$ towards right. The acceleration of $20 \,kg$ mass at this instant is ........ $m / s ^2$
Write different type of common forces.
Write different type of common forces.