Application of Newtons laws

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Question

Force F is applied on upper pulley. If F = 30 t, where t is time in second. Find the time (in sec) when m₁ loses contact with floor. (Take g = 10 m/s²)

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Solution

Block B loses contact when normal reaction on it becomes zero
$\begin{array}{l} i . e ., 2 T = 40 \\ T = 20 N \\ F = 3 T \\ 30 t = 3 (20) \\ 30 t = 60 \\ t = 2 s \end{array}$

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