First slide

Rolling motion

Question

A then ring of radius 0.5 m is rolling without slipping on horizontal ground with angular velocity 5 rad/sec. Then speed of top most point on the ring is

Moderate

A

0.5 m/s
B

1 m/s
C

2.5 m/s
D

5 m/s

Solution

$V_{c} =$ velocity of the centre of ring $= ω R = 5 \times 0.5 m / s$
$∴ V =$ speed of top most point $= 2 V_{c} = 2 \times 5 \times 0.5 m / s = 5 m / s$

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