Question

In the given setup find the tension in the left and the right string? Assume string and pulley to be massless, surface and pulleys are frictionless.

• A. ;
• B. ;
• C. ;
• D. None of these

Answer 1

The correct option is A

;

Tension in both strings will be different. Assume tension in left string $T_1$ and for right $T_r$.

Acceleration of 3kg and 2 kg will be same as they are connected by one single inextensible string.

Assume this acceleration = a

$a_5=a_2=a$ --------------------------(i)

Also since 2 kg and 5 kg are connected by single inextensible string so their acceleration will be same too.

$a_3=a_2$ -----------------------(ii)

from (I) & (II)

$a_5=a_2=a_3=a$

$\Rightarrow$ Draw Free Body Diagram write equations

$T_1-30=3a$ --------------------(iii)

$T_r-T_1=2a$ -------------------(iv)

$5g-T_r-5a$ ---------------------(v)

Solving (iii) & (iv) & (v) we get

50 - 30 = 10a

a = 2$m/s^2$

substituting a in equation (iii) & (iv)

gives

$T_1=36N$

$T_r=40N$