- #1
Ayotte
- 3
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A particle of mass m is confined to move, without friction, in a vertical plane, with axes x horizontal and y vertically up. The plane is forced to rotate with constant angular velocity [tex]\Omega[/tex] about the y axis. Find the equations of motion for x and y, solve them, and describe the possible motions.
Fcor=2m v [tex]\times[/tex] [tex]\Omega[/tex]
This is listed in a section of the homework titled "The Coriolis Force." However, when I think about the problem, the only fictitious force that I can see applying here is centrifugal. Any motion in the y direction will be parallel with Omega, and therefore the cross product will be zero, and any motion in the x direction will cause the cross product to be in the z direction. I'm confused, because the problem is in the section where the problems should involve the Cor. force, so I would like confirmation that I'm correct.
Fcor=2m v [tex]\times[/tex] [tex]\Omega[/tex]
This is listed in a section of the homework titled "The Coriolis Force." However, when I think about the problem, the only fictitious force that I can see applying here is centrifugal. Any motion in the y direction will be parallel with Omega, and therefore the cross product will be zero, and any motion in the x direction will cause the cross product to be in the z direction. I'm confused, because the problem is in the section where the problems should involve the Cor. force, so I would like confirmation that I'm correct.