8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion
2
is satisfied. This occurs when
t =
b ω 0
3 μ g
=
0.25 × 35
3 × 0.15 × 9.81
= 1.98 s.
Whilst it is slipping, the cylinder travels a distance
x =
1
μ g t^2 = 0.5 × 0.15 × 9.81 × 1.98^2 = 2.88 m.