A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity vo and angular velocity ωoas shown. The disc comes to rest after moving some distance to the right. It follows that:
A
3vo=2ωor
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2vo=ωor
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
vo=ωor
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2vo=3ωor
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B2vo=ωor as ther is slipping friction acts
now , a=Fmα=2FRMR2=2FMRnowv−at=0⇒t1=vaω−αt=0⇒t2=ωαasdisccomestorestt1=t2va=ωα⇒mvF=mωr2F⇒ωr=2v0