1.

A sharp vertical impulse J is given to a uniform solid sphere ofmass m and radius R place on a rough horizontal surface. Choose the correct options

Answer»

Impulse imparted to the sphere by the surface perpendicular to TE suurface will also have MAGNITUDE `J`
MINIMUM value of coefficient of friction between sphere and surface to avoid slipping is `mu=4/7`
If `mu=11/20`, sphere rols with backward slipping
If `mu=13/20` sphere rolls with forward slipping

Solution :`J_(N)=J J_(f)=mv_(cm)`
`J(4R)/5-J_(f)R=2/5mR^(2)omega`
`4/5J-J_(f)=2/5mv_(cm)=2/5J_(f)`
`implies4/5J=4/5J_(f)impliesJ_(f)=4/7J`
`muJ t 4/7 impliesmu gt 4/7` for ROLLING


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