Question

In the system shown in figure at some instant acceleration of pulley was $10m/s^2$ in upward direction. At that instant spring was in its natural length. If acceleration of block A and B are $a_A$ and $a_B$ at that instant then $a_A$ and $a_B$ are respectively: (Given $m_A$ = 10 kg,$m_B$ = 20 kg, g = $10m/s^2$, pulley is light and smooth)

• A. $\frac{10}{3}m/s^2\uparrow ;\frac{10}{3}m/s^2\downarrow$
• B. $15m/s^2\uparrow ;5m/s^2\uparrow$
• C. $10m/s^2\uparrow ;10m/s^2\uparrow$
• D. $10m/s^2\downarrow ;10m/s^2\downarrow$

Answer 1

The correct option is D

$10m/s^2\downarrow ;10m/s^2\downarrow$

Tension in the string is zero,

Blocks are in free fall state