There is a Lazy Susan on the kitchen table that has a slot going through the center of it. You place a single die in the slot and do some dynamics. The Lazy Susan is rotating with an angular velocity of 2 rad/s. The die A is moving along the slot with speed of 3 in/s relative to the Lazy Susan. Assume the distancer is 6". a) Clearly define your system using polar coordinates. b) Determine the absolute velocity of the die in in/sec. Be sure your answer is expressed in polar coordinates. [Ans. to Check: 12 ee + 3 e, in/sec] c) Compute the angle between this velocity vector and the x-axis (shown in the picture). [Ans. to Check: 75.96°] ) = 2 rad/s A u = 3 in/s to

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There is a Lazy Susan on the kitchen table that has a slot going through the center of it. You
place a single die in the slot and do some dynamics. The Lazy Susan is rotating with an angular
velocity of 2 rad/s. The die A is moving along the slot with speed of 3 in/s relative to the Lazy
Susan. Assume the distance r is 6".
a) Clearly define your system using polar coordinates.
b) Determine the absolute velocity of the die in in/sec. Be sure your answer is expressed in
polar coordinates. [Ans. to Check: 12 ee + 3 e, in/sec]
c) Compute the angle between this velocity vector and the x-axis (shown in the picture).
[Ans. to Check: 75.96°]
W = 2 rad/s
u = 3 in/s
9:57 PM
39°F Partly cloudy
4/13/2022
47
ype here to search
PgDn
PrtScn
FB
End
F10
Home
Transcribed Image Text:There is a Lazy Susan on the kitchen table that has a slot going through the center of it. You place a single die in the slot and do some dynamics. The Lazy Susan is rotating with an angular velocity of 2 rad/s. The die A is moving along the slot with speed of 3 in/s relative to the Lazy Susan. Assume the distance r is 6". a) Clearly define your system using polar coordinates. b) Determine the absolute velocity of the die in in/sec. Be sure your answer is expressed in polar coordinates. [Ans. to Check: 12 ee + 3 e, in/sec] c) Compute the angle between this velocity vector and the x-axis (shown in the picture). [Ans. to Check: 75.96°] W = 2 rad/s u = 3 in/s 9:57 PM 39°F Partly cloudy 4/13/2022 47 ype here to search PgDn PrtScn FB End F10 Home
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