Question

In a given figure, all surfaces are smooth and take $g=10m/s^2$.

• A. Acceleration of $2kg$ is $\left(\frac{6g}{17}\right)m/s^2$
• B. Acceleration of $4kg$ is $\left(\frac{3g}{17}\right)m/s^2$
• C. Acceleration of $6kg$ is $\left(\frac{9g}{17}\right)m/s^2$
• D. Tension in string is $\left(\frac{24}{17}g\right)N$

Answer 1

Answer: (C), (D)

Tension in string is $\left(\frac{24}{17}g\right)N$


And by constraint relation $a_2+a_4=2a_6$ ....(1)
$T=2a_2$ ....(2), $T=4a_4$ ...(3) & $60-2T=6a_6$
Solving (1), (2), (3) & (4),
$T=\frac{240}{17}$,
$a_4=\frac{60}{17}$,
$a_6=\frac{90}{17}$,
$a_2=\frac{120}{17}$