Question

Two bodies of mass $6kg$ and $4kg$ are tied to a string as shown in the adjoining figure. If the table is smooth and pulley frictionless, then acceleration of mass $6kg$ will be $\left(g = 10 m s^{- 2}\right):$

• A. $60ms^{- 2}$
• B. $40ms^{- 2}$
• C. $6ms^{- 2}$
• D. $4ms^{- 2}$

Answer 1

Answer: (C)

$6g-T=6a...\left(1\right)$
$T=4a...\left(2\right)$
$\therefore 6g=\left(\right.6+4\left.\right)a$ or $a=\frac{6 g}{10}=\frac{6 \times 10}{10}=6ms^{- 2}$