Two boxes, one with mass M-17.0 kg and the other with mass m= 3.00 kg, are placed on top of one another and connected to each other by massless string that passess through a massless and frictionless pulley. This system is clamped to a ramp oriented at 0= 60.0° above the horizontal mass M accelerates downward. There is friction between the boxes with coefficient friction µm = 0.586, and there is also friction between mass M and the floor with coefficient of friction µM = 0.342. Note: Express answers in your SI Units. A. Draw the free-body diagram of both blocks. Set the x-axis parallel to the ramp. B. (Write Newton's 2nd law along the x and y directions for both blocks. Let the +x axis be directed downward the incline. C. What is the magnitude of the frictional force between the boxes? D. What is the magnitude of the frictional force between box M and the floor? E. What is the magnitude of the acceleration of the system? F. What is the magnitude of the tension force in the string? HM M m Hm

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Chapter12: Static Equilibrium And Elasticity
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Two boxes, one with mass M-17.0 kg and the other with mass m= 3.00 kg, are placed on
top of one another and connected to each other by massless string that passess through a
massless and frictionless pulley. This system is clamped to a ramp oriented at 0= 60.0°
above the horizontal mass M accelerates downward. There is friction between the
boxes with coefficient friction µm = 0.586, and there is also friction between mass M and
the floor with coefficient of friction µM = 0.342.
Note: Express answers in your SI Units.
A. Draw the free-body diagram of both blocks.
Set the x-axis parallel to the ramp.
B. (Write Newton's 2nd law along the x and y directions for
both blocks. Let the +x axis be directed
downward the incline.
C. What is the magnitude of the frictional force between the boxes?
D. What is the magnitude of the frictional force between
box M and the floor?
E. What is the magnitude of the acceleration of the system?
F. What is the magnitude of the tension force in the string?
HM
M
m
Um
Transcribed Image Text:Two boxes, one with mass M-17.0 kg and the other with mass m= 3.00 kg, are placed on top of one another and connected to each other by massless string that passess through a massless and frictionless pulley. This system is clamped to a ramp oriented at 0= 60.0° above the horizontal mass M accelerates downward. There is friction between the boxes with coefficient friction µm = 0.586, and there is also friction between mass M and the floor with coefficient of friction µM = 0.342. Note: Express answers in your SI Units. A. Draw the free-body diagram of both blocks. Set the x-axis parallel to the ramp. B. (Write Newton's 2nd law along the x and y directions for both blocks. Let the +x axis be directed downward the incline. C. What is the magnitude of the frictional force between the boxes? D. What is the magnitude of the frictional force between box M and the floor? E. What is the magnitude of the acceleration of the system? F. What is the magnitude of the tension force in the string? HM M m Um
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