1 ft 3 ft 3 ft (-900î + 800j 3 ft

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter4: Shear Forces And Bending Moments
Section: Chapter Questions
Problem 4.3.27P: The centrifuge shown in the figure rotates in a horizontal plane (the x-y plane) on a smooth surface...
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1 ft
3 ft
B
3 ft
3 ft
(-9002 + 800f + 1000k) Ib.ft
6 ft
3 ft
E
(-300î – 400ĵ + 100k) Ibs
The applied force at point E and the applied couple moment at point D are shown in the figure.
Complete/calculate the following: (Where applicable, express the results as the (x, y, z)
components of a Cartesian vector)
1. Draw the free-body diagram (FBD), showing the appropriate reaction forces and/or
moments at the supports. (You must show the reactions in their component form i.e.
show RAx, MRAX etc. on the FBD). Note: The support at point A is not able to resist a
moment about the 'X' axis but is able to resist a force in this direction.
2. The unit vector ÅBc
3. The position vector Tɛ/a
4. The position vector īB/A
5. ME, which is the moment vector at point A due to the force acting at point E
6. M", which is the moment vector at point A due to the tension force acting at point B.
Write the vector in terms of the unknown tension magnitude T'
7. Set up the equations of equilibrium (You must show all relevant equilibrium equations
one below the other.
8. Calculate the tension in the rope and the reactions at support A.
Transcribed Image Text:1 ft 3 ft B 3 ft 3 ft (-9002 + 800f + 1000k) Ib.ft 6 ft 3 ft E (-300î – 400ĵ + 100k) Ibs The applied force at point E and the applied couple moment at point D are shown in the figure. Complete/calculate the following: (Where applicable, express the results as the (x, y, z) components of a Cartesian vector) 1. Draw the free-body diagram (FBD), showing the appropriate reaction forces and/or moments at the supports. (You must show the reactions in their component form i.e. show RAx, MRAX etc. on the FBD). Note: The support at point A is not able to resist a moment about the 'X' axis but is able to resist a force in this direction. 2. The unit vector ÅBc 3. The position vector Tɛ/a 4. The position vector īB/A 5. ME, which is the moment vector at point A due to the force acting at point E 6. M", which is the moment vector at point A due to the tension force acting at point B. Write the vector in terms of the unknown tension magnitude T' 7. Set up the equations of equilibrium (You must show all relevant equilibrium equations one below the other. 8. Calculate the tension in the rope and the reactions at support A.
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