Question bank/JEE Main/Physics

If acceleration of block B w.r.t. A is $2m/s^{2}$just after the
system is released from rest, then mass(in kg) of block C will be 5m.
Find m. [pulley and string both are massless, take

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[IMAGE] Given Condition is possible if$a_{B} - a_{A} = 2m/s^{2}$
And $a_{A} = \frac{30}{5} = 6m/s^{2} \Rightarrow a_{a} = 8m/s^{2}$B & C
will move with same acc.$a_{B}$
$\Rightarrow mg - 50 = (m + 5)a_{B}$
$10m - 50 = 8m + 40$
$\Rightarrow m = 45kg$

Source: Grass-G / P-16 Physics paper 25 Nov First.docx