Two boxes, one with a mass of M = 17.0 [kg] and the other with a mass of m = 3.00 [kg], are stacked on top of each other and connected by a massless rope that runs through a massless and frictionless pulley. This system is clamped to a ramp that is oriented at = 60.0 above the horizontal, causing mass M to accelerate downward. Friction exists between the boxes with coefficient of friction μm = 0.586, as well as friction between mass M and the floor with coefficient of friction μM = 0.342. 1. Draw the free-body diagram of both blocks. Set the x-axis parallel to the ramp. 2. Write Newton's 2nd law along the x and y directions for both blocks. Let the +x-axis be directed downward the incline. 3. What is the magnitude of the frictional force between the boxes? 4. What is the magnitude of the frictional force between box M and the floor? 5. What is the magnitude of the acceleration of the system? 6. What is the magnitude of the tension force in the string? HM M m Hm
Two boxes, one with a mass of M = 17.0 [kg] and the other with a mass of m = 3.00 [kg], are stacked on top of each other and connected by a massless rope that runs through a massless and frictionless pulley. This system is clamped to a ramp that is oriented at = 60.0 above the horizontal, causing mass M to accelerate downward. Friction exists between the boxes with coefficient of friction μm = 0.586, as well as friction between mass M and the floor with coefficient of friction μM = 0.342. 1. Draw the free-body diagram of both blocks. Set the x-axis parallel to the ramp. 2. Write Newton's 2nd law along the x and y directions for both blocks. Let the +x-axis be directed downward the incline. 3. What is the magnitude of the frictional force between the boxes? 4. What is the magnitude of the frictional force between box M and the floor? 5. What is the magnitude of the acceleration of the system? 6. What is the magnitude of the tension force in the string? HM M m Hm
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![Two boxes, one with a mass of M = 17.0 [kg] and the other with a mass of m = 3.00
[kg], are stacked on top of each other and connected by a massless rope that runs
through a massless and frictionless pulley. This system is clamped to a ramp that is
oriented at = 60.0 above the horizontal, causing mass M to accelerate downward.
Friction exists between the boxes with coefficient of friction μm = 0.586, as well as
friction between mass M and the floor with coefficient of friction μM = 0.342.
3.
What is the magnitude of the frictional force between the boxes?
4. What is the magnitude of the frictional force between box M and the floor?
5. What is the magnitude of the acceleration of the system?
6. What is the magnitude of the tension force in the string?
A test tube 14.0 [cm] long is placed in a centrifuge, which is oriented at
30.0 with respect to the vertical, as shown. The centrifuge is then activated,
forcing the test tube to move in a uniform circular motion at a rate of 6.50
103 [rpm].
14.0 [cm]
HM
1. Draw the free-body diagram of both blocks. Set the x-axis parallel to the
ramp.
2.
Write Newton's 2nd law along the x and y directions for both blocks. Let the +x-axis be directed
downward the incline.
0
M
= 30.0°
20
m
Hm
1. What is the radial distance rc of the center of the test tube given
that is has an acceleration of 2 347g (where g is acceleration due
to gravity)?
2. What is the centripetal acceleration atop of the point I in the test tube? Express your answer in
terms of g.
3. What is the centripetal acceleration abottom of the point B in the test tube? Express your answer
in terms of g.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d4fa45c-7ed9-4e8a-bbe1-0ac7c7b60b89%2F44790149-d9ee-4ae6-bd01-1d0bdd4ff199%2Faup0dye_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Two boxes, one with a mass of M = 17.0 [kg] and the other with a mass of m = 3.00
[kg], are stacked on top of each other and connected by a massless rope that runs
through a massless and frictionless pulley. This system is clamped to a ramp that is
oriented at = 60.0 above the horizontal, causing mass M to accelerate downward.
Friction exists between the boxes with coefficient of friction μm = 0.586, as well as
friction between mass M and the floor with coefficient of friction μM = 0.342.
3.
What is the magnitude of the frictional force between the boxes?
4. What is the magnitude of the frictional force between box M and the floor?
5. What is the magnitude of the acceleration of the system?
6. What is the magnitude of the tension force in the string?
A test tube 14.0 [cm] long is placed in a centrifuge, which is oriented at
30.0 with respect to the vertical, as shown. The centrifuge is then activated,
forcing the test tube to move in a uniform circular motion at a rate of 6.50
103 [rpm].
14.0 [cm]
HM
1. Draw the free-body diagram of both blocks. Set the x-axis parallel to the
ramp.
2.
Write Newton's 2nd law along the x and y directions for both blocks. Let the +x-axis be directed
downward the incline.
0
M
= 30.0°
20
m
Hm
1. What is the radial distance rc of the center of the test tube given
that is has an acceleration of 2 347g (where g is acceleration due
to gravity)?
2. What is the centripetal acceleration atop of the point I in the test tube? Express your answer in
terms of g.
3. What is the centripetal acceleration abottom of the point B in the test tube? Express your answer
in terms of g.
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