Three equal weights of mass $2 kg$ each are hanging by a string passing over a fixed pulley. The tension in the string (in $N$ ) connecting $B$ and $C$ is

\frac{4 g}{3}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{g}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{2 g}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{g}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $\frac{4 g}{3}$
The given system is reframed as shown below

The FBDs of the blocks are as shown

So, we have equation of force as
For $A$ $T_{1} - 2 g = 2 a$
For $B$ $T_{2} + 2 g - T_{1} = 2 a$
For $C$ $2 g - T_{2} = 2 a$
Adding all three equations together, we get
$2 g = 6 a \Rightarrow a = \frac{g}{3}$
$∴$ Tension in the string connecting $B$ and $C$ is
$T_{2} = 2 (g - a) = 2 \times \frac{2 g}{3} = \frac{4 g}{3} N$

Suggest Corrections

Similar questions

Q. Three equal weighs of mass 2kg each are hanging by a string passing over a fixed pulley. The tension in the string (in N) connecting B and C is:

Q. Three equal weights

A, B, C

of mass

2 k g

each are hanging on a string passing over a fixed friction less pulley as shown in fig. The tension in the string connecting weights

B

and

C

is:

Q. Three equal weights A, B and C of mass

2 k g

each are hanging on a string passing over a fixed frictionless pulley as shown in the figure. The tension in the string connecting weights B and C is:

Q. Three equal weighs of mass

2 k g

each are hanging on a string passing over a fixed pulley as shown in the figure. The tension in the string connecting the weights

B

and

C

Three equal weights A, B and C of mass 2 kg each are hanging on a string passing over a fixed frictionless pulley as shown in the figure The tension in the string connecting weights B and C is

Join BYJU'S Learning Program

Three equal weights of mass 2 kg each are hanging by a string passing over a fixed pulley. The tension in the string (in N) connecting B and C is

Three equal weights of mass $2 kg$ each are hanging by a string passing over a fixed pulley. The tension in the string (in $N$ ) connecting $B$ and $C$ is