Rotational Motion Question 143

Question: A pulley fixed to the ceiling 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?

Options:

A) 0

B) $-g/4$

C) $g/2$

D) $-g/2$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] When the system is released, heavier mass move downward and the lighter one upward.

Thus, centre of mass will move towards the heavier mass with acceleration

$a=\left( \frac{3m-m}{3m+m} \right)g=\frac{g}{2}$



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