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Question

In the system shown in the figure m1>m2. System is held at rest by thread BC. Just after the thread BC is cut:

(A) Acceleration of m2 will be upwards
(B) Magnitude of acceleration of both blocks will be equal to (m1−m2m1+m2)g
(C) Acceleration of m1 will be equal to zero
(D) Magnitude of acceleration of two blocks will be non-zero and unequal.
From the above four statements we can conclude

A
Only statement (A) is correct
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B
Only statement (B) is correct
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C
Only statement (C) is correct
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D
Both statement (A) and (C) are correct
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Solution

The correct option is D Both statement (A) and (C) are correct
Before cut, from the FBD of m1 we get
m1g=kx

After cut from the FBDs of both the blocks we get,
For block B:
a=kxm2gm2=m1gm2gm2
the mass of m1 is greater than m2, the block will have acceleration upwards.
For block A:
a=m1gkxm1=0


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