Refer to the system shown in figure. The acceleration of the masses is

Question

Refer to the system shown in figure. The acceleration of the masses is (A) (g/3) (B) (g/6) (C) (g/9) (D) (g/12)

Tardigrade Admin · Accepted Answer

From diagram, 5 g -T2=5 a ...(i) T2-T1=3 a ...(ii) T1- g = a ...(iii) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/0108be427ec8d29b1bff361c56a09de0-.png" /> Solving Eqs. (i), (ii) and (iii), we get g=9 a or a=(g/9)

Q. Refer to the system shown in figure. The acceleration of the masses is

$\frac{g}{3}$

$\frac{g}{6}$

$\frac{g}{9}$

$\frac{g}{12}$

From diagram,
$5 g - T_{2} = 5 a ... (i)$
$T_{2} - T_{1} = 3 a ... (ii)$
$T_{1} - g = a ... (iii)$

Solving Eqs. (i), (ii) and (iii), we get
$g = 9 a$
or $a = \frac{g}{9}$