Three blocks \(\mathrm{M}_1, \mathrm{M}_2, \mathrm{M}_3\) having masses \(4 \mathrm{~kg}, 6 \mathrm{~kg}\) and \(10 \mathrm{~kg}\) respectively are hanging from a smooth pully using rope 1,2 and 3 as shown in figure. The tension in the rope \(1, \mathrm{~T}_1\) when they are moving upward with acceleration of \(2 \mathrm{~ms}^{-2}\) is _______ \(\mathrm{N}\) (if \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\) )

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Answer & Solution

Correct Answer

(D) \(240\)

Step-by-step Solution

Detailed explanation

\(FBD\) of \(M_1\) :

\(\mathrm{T}_1-200=(4+6+10) \times 2\)

\(\therefore \mathrm{T}_1=240\)

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