Laws Of Motion Question 70

Question: A pulley fixed to the ceilling carries a string with blocks of mass m and 3 m attached to its ends. The masses of string and pulley are negligible. When the system is released, its centre of mass moves with what acceleration [UPSEAT 2002]

Options:

A) 0

B) $ g/4 $

C) $ g/2 $

D) $ -g/2 $

Show Answer

Answer:

Correct Answer: B

Solution:

$ a _{cm}={{( \frac{m _{1}-m _{2}}{m _{1}+m _{2}} )}^{2}}\ g={{( \frac{3m-m}{3m+m} )}^{2}}g=\frac{g}{4} $



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