Consider a system of two masses and a pulley shown in the figure. The coefficient of friction between the two blocks and also between block and table is 0.1 . Find the force
, that must be given to the
block such that it attains accelerations of
. (Assume, acceleration due to gravity,
.)
Text Solution
Verified by ExpertsA
Given,
Acceleration of block,
Coefficient of friction between two blocks and table,
Let tension in the string be
.

Force acting on the
block are shown in the figure.

Equation of motion for
block,

putting the given values, we get

Free body diagram for
body.

For
block, friction force due to
block is in opposite direction of tension force.
So, 
…… (ii)
From Eqs. (i) and (ii), we get

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