In the arrangement shown in the figure, mA=2kg and mB=1kg. String is light and inextensible. Find the acceleration of centre of mass of both the blocks :
Neglect friction everywhere.
g/3 downwards
g/9 downwards
g/9 upwards
g/3 upwards
A
g/3 downwards
B
g/9 upwards
C
g/9 downwards
D
g/3 upwards
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Solution
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As mA>mB so acceleration of A is downward and B is upward. For downward assume acceleration is positive and for upward acceleration negative. i.e, aA=a and aB=−a Here, (mA+mB)a=(mA−mB)g
(2+1)a=(2−1)g⇒a=g3
thus, acm=mAaA+mBaBma+mB=2(g/3)+1(−g/3)2+1=g/9 downward. (as it is positive)
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