MCQ
Three cubic shaped bodies whose masses are $m _1=20$ $kg , m _2=40 kg$ and $m _3=60 kg$ are kept on a frictionless surface as shown in figure. All three bodies are connected by an inextensible string. The values of $T _1$ and $T_2$ will be :
Image
  • A
    20 N and 10 N
  • 20 N and 60 N
  • C
    40 N and 20 N
  • D
    10 N and 20 N

Answer

Correct option: B.
20 N and 60 N
(B) Acceleration of system :
$\begin{aligned}
a & =\frac{F}{m_1+m_2+m_3}=\frac{120}{20+40+60} \\
a & =1 m / s^2 \\
T_1 & =m_1 a=20 \times 1=20 N \\
T_2 & =\left(m_1+m_2\right) a=(20+40) \times 1=60 N
\end{aligned}$
Hence, correct option is (B).

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