Three blocks with masses 
and 
are connected by strings, as shown in the figure. After an upward force 
is applied on block m, the masses move upward at constant speed v. What is the net force on the block of mass 2m?. (g is the acceleration due to gravity)
Text Solution
Verified by ExpertsC
: Let 
be tension in string connecting 
and 
and 
be tension in string connecting 
and 
Let 
be common acceleration of the system. 
As the system moves with constant speed, therefore, 
or 
The free body diagram of block 
is as shown in the figure.
The equation of motion of block of mass m is
(i)
The free body diagram of block of mass 
is as shown in the figure.
The equation of motion of block of mass 
is
(Using (i))
The free body diagram of block of mass 
is as shown in the figure.
The equation of motion of block of mass 
is
Net force on the block of mass 
is
Alternate solution: As all blocks are moving with constant speed, therefore, acceleration is zero. So net force on each block is zero.
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