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Question

A block of mass M is placed on the top of a bigger block of mass 10 M as shown in figure.All the surfaces are frictionless. The system is released from rest. Find the distance moved by the bigger block at the instant the smaller block reaches the fround.


A

0.2m

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B

0.4m

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C

0.1m

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D

0.3m

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Solution

The correct option is A

0.2m


If the bigger block moves right by a distance x, the smaller block move towrards left by (2.2 - x)
We know ,
δXcom = m1X1+m2X2m1+m2
As there is no net external force in horizontal direction,
δXcom = 0
m1X1+m2X2m1+m2 = 0
10MX - M(2.2 - x)
10X = 2.2 - x
11x = 2.2
X = 0.2 m


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