Three masses , and are suspended from a fixed smooth frictionless pulley as shown in the figure below. The value of

Question

Three masses $m_{1} = 4 kg$ , $m_{2} = 4 kg$ and $m_{3} = 6 kg$ are suspended from a fixed smooth frictionless pulley as shown in the figure below. The value of $\frac{T_{1}}{T_{2}}$ is ______ (Take $g = 10 m / s^{2}$ ) [2026]

Smart Achievers · Accepted Answer

(1)

$60 - T_{2} = 6 a$ $. . . (i)$

$T_{2} + 40 - T_{1} = 4 a$ $. . . (i i)$

$60 = 14 a \Rightarrow a = \frac{60}{14} = \frac{30}{7} m s^{- 2}$

$T_{1} = 40 + 4 \times \frac{30}{7} = \frac{400}{7} N$

$60 - T_{2} = 6 \times \frac{30}{7}$

$T_{2} = 60 - \frac{180}{7} = \frac{240}{7} N$

$\Rightarrow \frac{T_{1}}{T_{2}} = \frac{5}{3}$

Solution

Q.
Three masses $m_{1} = 4 kg$ , $m_{2} = 4 kg$ and $m_{3} = 6 kg$ are suspended from a fixed smooth frictionless pulley as shown in the figure below. The value of $\frac{T_{1}}{T_{2}}$ is ______ (Take $g = 10 m / s^{2}$ ) [2026]

1 $\frac{5}{3}$

2 $\frac{2}{3}$

3 $\frac{3}{5}$

4 $\frac{2}{5}$

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Solution

Q. Three masses m1=4 kg, m2=4 kg and m3=6 kg are suspended from a fixed smooth frictionless pulley as shown in the figure below. The value of T1T2 is ______ (Take g=10 m/s2) [2026]

1 53

2 23

3 35

4 25