A block of mass m1 hangs from an ideal rope attached to a block of mass m2 which sits on an incline of angle o. Friction is present between the ramp and m2. (a) Assume that initial neither block is moving. Draw a separate free body diagram for each mass. (b) If the blocks are not moving, what is the magnitude and direction of the force of static friction on m2? (c) If the block are not moving, what is the smallest possible value for the coefficient of static friction us
A block of mass m1 hangs from an ideal rope attached to a block of mass m2 which sits on an incline of angle o. Friction is present between the ramp and m2. (a) Assume that initial neither block is moving. Draw a separate free body diagram for each mass. (b) If the blocks are not moving, what is the magnitude and direction of the force of static friction on m2? (c) If the block are not moving, what is the smallest possible value for the coefficient of static friction us
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Please answer question 2 parts a-c. The 2nd image shows the answer to question 1
Transcribed Image Text:Question 1.
A block of mass m is placed at the top of an incline with coefficient of static friction µ. What is the largest
angle of the ramp at which the block will not slide?
Question 2.
A block of mass mj hangs from an ideal rope attached to a block of mass m2 which sits on an incline of
angle ø. Friction is present between the ramp and m2.
M.
Mi
(a) Assume that initial neither block is moving. Draw a separate free body diagram for each mass.
(b) If the blocks are not moving, what is the magnitude and direction of the force of static friction on m2?
(c) If the block are not moving, what is the smallest possible value for the coefficient of static friction us
between the ramp and m2?
(d) Now someone briefly pushes the second block so that it begins to slide down. After the person stops
pushing, what is the direction and magnitude of the force of kinetic friction on m2 if µk = 1/18?
(e) What is the acceleration of block 1?
Question 3.
A block of mass m is resting on top of a block of mass M that is placed on top of a frictionless table. A
string is attached to the bottom block and pulled with a force of F. What is the smallest value for the
coefficient of static friction that will ensure m does not slip?
Transcribed Image Text:Question 1.
A block of mass m is placed at the top of an incline with coefficient of static friction u. What is the largest
angle of the ramp at which the block will not slide?
fs
mgsine
mgcos o
o. Cormula
to.calculate.
exerted by
the
plane.
nornal
for ce
the
blocu
Can
be
written
as
N=mg cos o ()
formula
frictional. force
block is given. by
o the
calculate.
.on the
on the
to
the
static
fs=MN. .(?)
o Heve . M 1s
coeff,cient
of statiç
friction
the
Sub [mycoso) for
into ewation 12) to get the
force
static friction
fs=M mg loso [3)
The block is
the. inclined
jf the
to
Slide
plane
net for ce
not
going
along
the
bloce
the
inclined
along
plane is
on
inclined plane
the for mula
is given by
çalculate the
net for ce
block
to
the
along
the
on
Fn= mg Sino -fs (4)
CHmy cos e) cor fs into
angle
0. for F. and
and simpiify. to
sub
caua tion. (4)
obtain
the maximum
inclination
0 = mgsine - umg cose
tan@ =M.
D = tan" (M)
Answer : The largest angle of the ramp at which
the block
will not slide
is tan H.
Do
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Free Body Diagram of the blocks
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