34 35 10P RSPHERE RTRACK Rsphere A 2.4 kg sphere with a 39 mm radius rolls without slipping on the track shown. It is desired to set the height of the 'at rest' starting point so that the sphere 'just barely remains in contact with the track at the highest point in the loop having a 390 mm radius. Determine (a) the minimum linear velocity in m/s at the highest point in the loop, (b) the minimum angular velocity in rad/s at the highest point in the loop and (c) the minimum height in mm. The sphere mass moment of inertia lo = 2/5 m r^2. Hint: What radius does the centroid travel??? ei h. Path- 2.4 390 39 Rtrack 36 Score 20 37 value 30 38 3.
34 35 10P RSPHERE RTRACK Rsphere A 2.4 kg sphere with a 39 mm radius rolls without slipping on the track shown. It is desired to set the height of the 'at rest' starting point so that the sphere 'just barely remains in contact with the track at the highest point in the loop having a 390 mm radius. Determine (a) the minimum linear velocity in m/s at the highest point in the loop, (b) the minimum angular velocity in rad/s at the highest point in the loop and (c) the minimum height in mm. The sphere mass moment of inertia lo = 2/5 m r^2. Hint: What radius does the centroid travel??? ei h. Path- 2.4 390 39 Rtrack 36 Score 20 37 value 30 38 3.
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:34
35
10P
RSPHERE RTRACK
Rsphere
A 2.4 kg sphere with a 39 mm radius rolls without slipping on the
track shown. It is desired to set the height of the 'at rest' starting
point so that the sphere 'just barely remains in contact with the
track at the highest point in the loop having a 390 mm radius.
Determine (a) the minimum linear velocity in m/s at the highest
point in the loop, (b) the minimum angular velocity in rad/s at
the highest point in the loop and (c) the minimum height in mm.
The sphere mass moment of inertia lo = 2/5 m r^2. Hint: What
radius does the centroid travel???
ei
h.
Path-
2.4
390
39
Rtrack
36 Score
20
37 value
30
38
3.
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