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A rolling wheel has velocity of its cent...

A rolling wheel has velocity of its center of mass as 5 ms. 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.

Text Solution

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Tanslational velocity `(V_("TRANS"))` or velocity of center of mass, `V_(CM)= 5 ms^(-1)`
The radius is, R-1.5 m and the angular velocity is, `omega=3"ra s"^(-)`.
Rotational velocity, `v_("NOT")= R omega`
`V_("NOT"=1.5xx3`
`V_("NOT")=4.5 ms^(-1)`
As `V_(CM) gt R omega (or) v_("TRANS") gt R omega`, It is not pure rolling. but silding.
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