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In the system shown in Figure, the mass 30 kg is pulled by a force 210 N. At the instant when the 15 kg mass has acceleration 6 m/s², the acceleration of 30 kg mass will be: (Assume the spring to be massless)

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2 m/s²

3 m/s²

3.4 m/s²

4 m/s²

answer is D.

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Detailed Solution

Let spring force be b then 210 - kx =30 a₃₀ and
kx - 15a₁₅ = 15 (6) = 90
So, 210- 90 = 30a₃₀
a₃₀ = 4 m/s²

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