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Chapter: 11th Physics : Motion of System of Particles and Rigid Bodies

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Solved Example Problems for Slipping and Sliding(Rolling Motion)

Physics : Motion of System of Particles and Rigid Bodies : Rolling Motion : Slipping and Sliding

Solved Example Problems for Slipping and Sliding(Rolling Motion)

Example 5.21

A rolling wheel has velocity of its center of mass as 5 m s-1. If its radius is 1.5 m and angular velocity is 3 rad s-1, then check whether it is in pure rolling or not.

Solution

Translational velocity (vTRANS) or velocity of center of mass, vCM = 5 m s-1

The radius is, R = 1.5 m and the angular velocity is, ω = 3 rad s-1

Rotational velocity, vROT = Rω


As vCM > Rω (or) vTRANS > Rω, It is not in pure rolling, but sliding.


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