With reference to the figure showing a light inextensible string passing over a fixed frictionless pulley, the tension T2 is

Question

With reference to the figure showing a light inextensible string passing over a fixed frictionless pulley, the tension T2 is (A) 24.5 N (B) 29.4 N (C) 18.6 N (D) 68.6 N

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/8688f465a6e049cca592f57192b65bbe-.png" /> Let a be the common acceleration of the system a = (7 - 5/7 +5) g = (2/12) g = (1/6)g The equation of motion of 3 kg mass is 3g - T2 = 3a or T2 = 3 g - 3 ( (g/6) ) or T2 = (5g/2) = (5/2) × 9.8 N = 24.5 N

Q. With reference to the figure showing a light inextensible string passing over a fixed frictionless pulley, the tension $T_{2}$ is

24.5 N

29.4 N

18.6 N

68.6 N

Let $a$ be the common
acceleration of the system
$a = \frac{7 - 5}{7 + 5} g = \frac{2}{12} g = \frac{1}{6} g$
The equation of motion of 3 kg mass is
$3 g - T_{2} = 3 a$
or $T_{2} = 3 g - 3 (\frac{g}{6})$
or $T_{2} = \frac{5 g}{2} = \frac{5}{2} \times 9.8 N = 24.5 N$

Q. With reference to the figure showing a light inextensible string passing over a fixed frictionless pulley, the tension T2​ is