Block
, of mass 
kg, rests on block
, with mass 
kg, which in turn is on a horizontal tabletop (as shown in figure). The coefficient of kinetic friction between block 
an the tabletop is 
and the coefficient of static friction between block 
and block 
is
. A light string attached to block 
is suspended from the other end of the string. What is the largest mass 
(in kg) that block 
can have so0 that blocks 
and 
still slide together when the system is released from rest?
Block , of mass kg, rests on block , with mass kg, which in turn is on a horizontal tabletop (as shown in figure). The coefficient of kinetic friction between block an the tabletop is and the coefficient of static friction between block and block is . A light string attached to block is suspended from the other end of the string. What is the largest mass (in kg) that block can have so0 that blocks and still slide together when the system is released from rest?
Question ID - 153891 | SaraNextGen Top Answer
Block , of mass kg, rests on block , with mass kg, which in turn is on a horizontal tabletop (as shown in figure). The coefficient of kinetic friction between block an the tabletop is and the coefficient of static friction between block and block is . A light string attached to block is suspended from the other end of the string. What is the largest mass (in kg) that block can have so0 that blocks and still slide together when the system is released from rest?
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Block
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(5) Denote the common magnitude of the maximum acceleration as
This tension is related to the mass
|
. For block 
to remain at rest with respect to block 
to remain at rest with respect to block 
to be largest. The tension in the cord is then
(largest) by
.Solving for
yields