What minimum value of M is required to move block A with constant velocity?
This scenario is clearly impossible. I'll prove it to you. Either the problem is over specified or some crucial information is missing. Some obvious missing info is-nature of pulley and strings-are they massless and frictionless? But I'll make this assumption anyway.
Also, where is this friction:between table and the blocks or only between B and C or both? I'll take the latter case.Now, apply laws of motion to each element in the system one by one.
A
Because A is to be moved and that to with constant speed, kinetic friction comes into play
Pulley 1
B
Thus, block B is also moving with constant speed, then
where
is the friction acting between B and C.
C
Maximum friction available for C is
Clearly,
Thus which means C can't move.
Pulley 2
D
D's motion is directly dependent on B. Since the latter is unaccelerated so is D.
Equations I,II and III give
M gets eliminated from the problem instead we get to obtain the value of friction coefficient!!!
What minimum value of M is required to move block A with constant velocity?
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