A circular plate with a slot in its surface is rotating with angular velocity ω and angular acceleration α with respect to a fixed coordinate system, OXYZ. A ball B moves along the slot in the direction shown with velocity, v, and acceleration, a, both measured relative to the plate. A body coordinate system Axyz is attached to the rotating plate , i^ runs parallel to the slot and at this instant the ball is located on the j^ unit vector at a length of L from the center of the disk A. The length of the slot is 2L. The ball is slightly smaller than the sot and therefore only contacts one side of the slot at at time.
-A is the point at the center of the disk. The radius of AB is L and located on the unit vector j^.
-j^ splits down the middle of OXYZ with 45 degrees on each side.
QUESTIONS:
1)For the instant of time described , give the ball's velocity vB with respect to the fixed ground frame Oxyz. Express your answer using the body coordinates i^ and j^.
Please enter the quantity terms of a,v,α,ω, and/or L.
vB=
i^:
j^:
2)For the instant of time described, give the ball's acceleration aB with respect to the fixed ground frame Oxyz. Express your answer using the body coordinates i^ and j^.
Please enter the quantity terms of a,v,α,ω, and/or L.
aB=
i^:
j^:
3)What range of angular velocities is the ball in contact with the outer side of the slot - the slot furthest away from the center of rotation?
Please enter the quantity terms of a,v,α,ω, and/or L.
ω>
I need the figure
Can I email it to u? Otherwise how can I post it. My email is braysbricks@gmail com
I thought this is against the honour code of MIT?
That defeats the whole purpose of e-learning.
Agreed, to ask one question because anywhere I look the movement of the slug being smaller than the slot isn't covered, more so I am looking for the route to get there not the answer. I already know 2 of them. And don't understand whatsoever how to come to the other.
Some serious direction on the third part would be great.
A partial answer:
[vvv][.][jiskha][.][com/display][.][cgi?id=1384802640]
"Some serious direction on the third part would be great." - I totally agree
Mors- Thanks. Good suggestions but 1 & 2 are pretty straight forward from the equations and examples.
None of the formulas and examples seem to suggest a course of action for #3. I'm sure it's simpler than most are making it. I've tried both Sum of forces and regular kinematic equations and continue to miss something. T-14hours then it won't matter.
The quizz is rather easy, but the third part of this question is literally killing me. I know that it has to be terribly simple, but i can't find the good answer (only one try left, and this question is worth 4% of the total course score)
here's the image
[s8.][postimg.][org/][uc9175f0l/][Disk_With_Inclined_Slot.][png]
remove the [ and ]