In the figure given below, with what acceleration does the block of mass m will move? (Pulley and strings are massless and frictionless)

Question

In the figure given below, with what acceleration does the block of mass m will move? (Pulley and strings are massless and frictionless) (A) (g/3) (B) (2 g/5) (C) (2 g/3) (D) (g/2)

Tardigrade Admin · Accepted Answer

For the single pulley system a=((m1-m2/m1+m2)) g take 2 m and 3 m as a system (i.e., single block of 5 m mass) m1=5 m m2=m a=((5 m-m/5 m +m)) g=(2 g/3)

Q. In the figure given below, with what acceleration does the block of mass $m$ will move? (Pulley and strings are massless and frictionless)

$\frac{g}{3}$

$\frac{2 g}{5}$

$\frac{2 g}{3}$

$\frac{g}{2}$

For the single pulley system $a = (\frac{m _{1} - m _{2}}{m _{1} + m _{2}}) g$
take $2 m$ and $3 m$ as a system (i.e., single block of $5 m$ mass)
$m_{1} = 5 m$
$m_{2} = m$
$a = (\frac{5 m - m}{5 m + m}) g = \frac{2 g}{3}$

Q. In the figure given below, with what acceleration does the block of mass m will move? (Pulley and strings are massless and frictionless)

3g​

52g​

32g​

2g​