wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

As shown in figure, a uniform disc of mass m is rolling without slipping with an angular velocity ω. The portion AB is rough and BC is smooth. If the disc crosses point B, the motion of the disc will be:


A
translational motion only
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
pure rolling motion
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
rotational motion only
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B pure rolling motion
In case of pure rolling, velocities of contact points have to be equal.
i.e VP=VQ
& V=ωR holds always

Since disc is already in a state of pure rolling, V=ωR is maintained. Hence friction won't act on the disc during its journey through the rough portion AB.
Disc will continue pure rolling motion while it travels through smooth portion BC.

flag
Suggest Corrections
thumbs-up
15
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon