A disc of radius 20 cm is rolling with slipping on a flat horizontal surface. At a certain instant, the velocity of its centre is 4 m/s and its angular velocity is 10 rad/s. The lowest contact point is O.
(i) Velocity of point O is –
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Ans.
(i)
Sol.
v 0 = v C – ω R
= 4 – 10 × 0.2
= 2 m/s
(ii)
Sol.
= 
+ 
= 
m/s
(iii)
Sol.
ω d = v C
10 × d = 4
d = 0.4 m below C
i.e. 0.2 m below O.
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