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A narrow but tall cabin is falling freel...

A narrow but tall cabin is falling freely near the earth's surface. Inside the cabin, two small stones A and B are released from rest (relative to the cabin). Initially A is much above the centre of mass and B much below the centre of mass of the cabin. A close observation of the motion of A and B will reveal that -

A

Both A and B continue to be exactly at rest relative to the cabin

B

A moves slowly upward and B moves slowly downward relative to the cabin

C

Both A and B fall to the bottom of the cabin with constant acceleration due to gravity

D

A and B move slightly towards each other vertically

Text Solution

Verified by Experts

The correct Answer is:
B
`alpha_B gt alpha_C gt alpha_A`
`alpha_B =g`
`vecalpha_(A//CM) = vecalpha_A-vecalpha_(CM) (uarr)`
`vecalpha_(B//CM) = vecalpha_B-vecalpha_(CM) (darr)`
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