A cylinder is rolling over frictionless horizontal surface with velocity v 0 as shown in figure. Coefficient of friction between wall and cylinder is µ=
. If the collision between cylinder and wall is completely inelastic, then kinetic energy of cylinder after collision –

Text Solution
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Collision between wall and cylinder is completely inelastic

∴
= 
= mv y [v y : f cylinder in
upward direction after
⇒ v y = μ v 0
Now, Angular impulse due to friction force
–
.
= 
[ ω : Angular velocity of cylinder after collision]
⇒ ω = 
Kinetic energy after collision
=
+
=

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