In example number 12.16 suppose the disc starts rotating anticlockwise with the sae angular velocity omega=(v)/(R), then what will e the angular momentum of te disc about bottommost in this new situation?
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Answer:
Total angular momentum is conserved. ω' = Iω - mvR(I + mR2) . ... If the cockroach stops, the angular velocity of the disc will be. A .
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Hence the angular momentum is Lo = 1 / 2 mvR (clockwise)
Explanation:
As we know that:
ω / V / R
L disc / A = L disc / COM + L COM / A
r x p = L
L = r x p
Momentum "P" = mv
Now
L = r (mv)
L COM / A = mvr (-n)
L disc / COM = I x ω
L0 = mvR − ICω
ω = v / R
Lo = mvR − (1 / 2mR^2)(vR)
Lo = 1 / 2 mvR (clockwise)
Hence the angular momentum is Lo = 1 / 2 mvR (clockwise)
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