You are to find the coordinates of a pebble stuck i n the tread of a rolling tire that is rotating counterclockwise (i.e., in the positive sense) with angular velocity w. The tire rolls without slipping on the ground (which is at y=0). The outer radius of the tire is R. At time t=0 the pebble is at the top of the tire, as shown. (Figure 1) Figure 1=0 ros < 1 of 2 > Part D Now find ape (t), the acceleration vector of the pebble with respect to a fixed point on the ground. Express your answer in terms of R, w, t and i and/or of the xy coordinate system shown. View Available Hint(s) aps (t)= Rw²sin (wt) i- Rw²cos (wt) 3 Submit ✓ Correct Part E Previous Answers Now find the magnitude of the acceleration vector. Your answer should be independent of time. ▸ View Available Hint(s) a(t) = |apg(t) = Submit Provide Feedback IVE ΑΣΦ ?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter2: Vectors
Section: Chapter Questions
Problem 51P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...
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You are to find the coordinates of a pebble stuck in the
tread of a rolling tire that is rotating counterclockwise
(i.e., in the positive sense) with angular velocity w. The
tire rolls without slipping on the ground (which is at
y=0). The outer radius of the tire is R. At time t=0,
the pebble is at the top of the tire, as shown. (Figure 1)
Figure
1=0
< 1 of 2 >
▼
Part D
Now find apg (t), the acceleration vector of the pebble with respect to a fixed point on the ground.
Express your answer in terms of R, w, t and i and/or j of the xy coordinate system shown.
View Available Hint(s)
apg (t) = Rw²sin (wt) i- Rw²cos (wt) j
Submit Previous Answers
✓ Correct
Part E
Now find the magnitude of the acceleration vector.
Your answer should be independent of time.
View Available Hint(s)
a(t) = |āpg (t) =
Submit
Provide Feedback
|| ΑΣΦ
P Pearson
↓
?
Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions Contact Us |
Next >
Transcribed Image Text:Sharing ngs pis You are to find the coordinates of a pebble stuck in the tread of a rolling tire that is rotating counterclockwise (i.e., in the positive sense) with angular velocity w. The tire rolls without slipping on the ground (which is at y=0). The outer radius of the tire is R. At time t=0, the pebble is at the top of the tire, as shown. (Figure 1) Figure 1=0 < 1 of 2 > ▼ Part D Now find apg (t), the acceleration vector of the pebble with respect to a fixed point on the ground. Express your answer in terms of R, w, t and i and/or j of the xy coordinate system shown. View Available Hint(s) apg (t) = Rw²sin (wt) i- Rw²cos (wt) j Submit Previous Answers ✓ Correct Part E Now find the magnitude of the acceleration vector. Your answer should be independent of time. View Available Hint(s) a(t) = |āpg (t) = Submit Provide Feedback || ΑΣΦ P Pearson ↓ ? Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions Contact Us | Next >
Figure
1>0
2 of 2
x
5
▼
apg (t)= Rw²sin (wt) i- Ru²cos (wt) j
Submit
✓ Correct
Part E
Previous Answers
Now find the magnitude of the acceleration vector.
Your answer should be independent of time.
View Available Hint(s)
a(t)= ape (t)=
Submit
Provide Feedback
IVE ΑΣΦ
Pearson
→
?
Copyright © 2022 Pearson Education Inc. All rights reserved. I Terms of Use | Privacy Policy Permissions Contact Us |
Next >
Transcribed Image Text:Figure 1>0 2 of 2 x 5 ▼ apg (t)= Rw²sin (wt) i- Ru²cos (wt) j Submit ✓ Correct Part E Previous Answers Now find the magnitude of the acceleration vector. Your answer should be independent of time. View Available Hint(s) a(t)= ape (t)= Submit Provide Feedback IVE ΑΣΦ Pearson → ? Copyright © 2022 Pearson Education Inc. All rights reserved. I Terms of Use | Privacy Policy Permissions Contact Us | Next >
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