A box of mass m is on an incline with = 30°. It is connected to a massless rope and frictionless pulley where another box of mass M is suspended as shown. There is friction between the incline and mass m: the co-efficient of static friction is and the co-efficient of kinetic friction is 3√3. (a) Draw a free-body diagram for each box. √3 m |M| (b) Suppose the box on the incline is not moving, what is the maximum mass the hanging box M could be? What would this be in the case of no friction?

University Physics Volume 1
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Chapter6: Applications Of Newton's Laws
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Problem 1 Hi Friction
A box of mass m is on
an incline with 0 =
30°. It
There is
is connected to a massless rope and frictionless pulley where
another box of mass M is suspended as shown.
friction between the incline and mass m: the co-efficient of
static friction is
and the co-efficient of kinetic friction is
√3
3√3*
m
M
Draw a free-body diagram for each box.
(b) Suppose the box on the incline is not moving, what is the maximum mass the hanging box M could
be? What would this be in the case of no friction?
Transcribed Image Text:Problem 1 Hi Friction A box of mass m is on an incline with 0 = 30°. It There is is connected to a massless rope and frictionless pulley where another box of mass M is suspended as shown. friction between the incline and mass m: the co-efficient of static friction is and the co-efficient of kinetic friction is √3 3√3* m M Draw a free-body diagram for each box. (b) Suppose the box on the incline is not moving, what is the maximum mass the hanging box M could be? What would this be in the case of no friction?
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