Problem 1: A rope with a constant and known tension T is pulling a block by way of a massless pulley a height h above the block. The block has a mass M and is moving over a floor with a known coefficient of friction of fl but with a nonzero acceleration. a) Draw a Free Body Diagram for the block, along with your choice of coordinate system M T LO X T h g

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1:
A rope with a constant and known tension
T is pulling a block by way of a massless
pulley a height h above the block. The
block has a mass M and is moving over a
floor with a known coefficient of friction of
u but with a nonzero acceleration.
a)
Draw a Free Body Diagram
for the block, along with your choice of
coordinate system
b)
Write Newton's 2nd Law for
the box as a vector and decomposed in
both of your directions
c)
List any constraints on the
motion on the block to continue sliding
on the floor
d)
Write cos(0) and sin(0) as
functions of x and h
e)
Find the acceleration as a func-
tion of the distance r. Your answer will
look like a(x) = Take T, m, h, and μ to
be known. should be replaced by what
you found in (d)
M
T
T
h
g
Transcribed Image Text:Problem 1: A rope with a constant and known tension T is pulling a block by way of a massless pulley a height h above the block. The block has a mass M and is moving over a floor with a known coefficient of friction of u but with a nonzero acceleration. a) Draw a Free Body Diagram for the block, along with your choice of coordinate system b) Write Newton's 2nd Law for the box as a vector and decomposed in both of your directions c) List any constraints on the motion on the block to continue sliding on the floor d) Write cos(0) and sin(0) as functions of x and h e) Find the acceleration as a func- tion of the distance r. Your answer will look like a(x) = Take T, m, h, and μ to be known. should be replaced by what you found in (d) M T T h g
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