In the situation shown find the accelerations of the blocks. Also find the accelerations if the force is shifted from the upper block to the lower block.
Text Solution
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(Upper block 4 m/s 2 , lower block 1 m/s 2 ; Both blocks 2 m/s 2 )
Sol. Case -I: For the lower block
a max = 
= 1m/s 2
and common possible acceleration = 
= 2 m/s 2 
Hence, blocks move with different accelerations.
a A = 
= 4 m/s
2 
a B = 
= 1 m/s 2 
Case-II: When the force is acting on the lower block maximum possible acceleration of A
= 
= 2 m/s 2
and common acceleration of the two blocks = 
= 2 m/s 2
Hence, both blocks move with common acceleration of a A = a B = 2 m/s 2
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