Question

In the system shown in figure, the acceleration of the 1 kg mass is –

• A. $\frac { \mathrm { g } } { 4 }$ downward
• B. $\frac { \mathrm { g } } { 4 }$ upward
• C. $\frac { \mathrm { g } } { 2 }$ downward
• D. $\frac { \mathrm { g } } { 2 }$ upward

Answer 1

Answer: (D)

$\frac { \mathrm { g } } { 2 }$ upward

Answer 2

4g – 2T = 4(1) ... (1)

T – 1(g) = 1 (2a) ... (2)

Solving equation no. (1) and (2)

we get a = $\frac { \mathrm { g } } { 4 }$

\ Acceleration of 1 kg mass = $\frac { \mathrm { g } } { 2 }$ upward