Question

Two masses as shown in the figure are suspended from a massless pulley. The acceleration of the system when masses are left free is

• A. $\frac{2g}{3}$
• B. $\frac{g}{3}$
• C. $\frac{g}{9}$
• D. $\frac{g}{7}$

Answer 1

Answer: (B)

$\frac{g}{3}$

Answer 2

The force equations are
T - 5 g = 5a,
10 g - T = 10 a
Adding, 10g - 5g = 15a
or, $a=\frac{5g}{15}=\frac{g}{3}.$