The system shown here is released from rest. Find the velocity of the centre of mass of the blocks after 0.4 sec.

Engineering

Physics

Center of Mass

Question

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$a_{1} = \frac{(3 - 1) \times 10}{3 + 1} = 5 m / s^{2}, a_{2} = - 5 m / s^{2}$

$a_{c} = \frac{3 \times 5 - 5 \times 1}{4} = 2 .5 m / s^{2}$

$v_{c} = a_{c} t = \frac{5}{2} \times \frac{2}{5} = 1 m / s$

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