Consider a system of blocks
and
as shown in the figure. The blocks
and
have equal mass and are connected by a massless string through a massless pully. The coefficient of friction between block
and
or
and
is 0.5 . If block
moves on the horizontal frictionless surface what should be its minimum acceleration such that blocks
and
remain stationary.
acceleration due to gravity.)

Text Solution
Verified by ExpertsA
Block
moves with acceleration
such that block
and
remains stationary. Block
is stationary only when, Tension force on block
is equal to friction force on
.

i.e.,
...(i) 
Block
is stationary only when friction force on block
is equal to the sum of tension force on block
and applied force on block
.

Thus,
should be its minimum acceleration such that blocks
and
remains stationary.
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