A cylinder of mass 'm' and radius 'R' is rolling without slipping on a horizontal surface with angular velocity ' ω 0 '. Velocity of circular motion of cylinder is ω 0 R. The cylinder came across a step of height R/4. Assume no slipping at edge.
(i) Angular velocity of cylinder just after collision is-
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Ans.
(i)
Sol. m ω 0 R 
+ 
= 
mR 2 ω1
⇒ ω = 
ω 0
(ii)
Sol. mg 
= 
× 
mR 2 ω 2 = 
mR 2 
ω 0 2 ∴ ω 0 = 
(iii)
Sol. mg. 
= mR ω
2 ⇒ ω = 
∴ ω 0 = 
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