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

A motor cyclist rides on a cylindrical wall of a velodrome (hollow metal cylinder kept with the axis vertical) of radius r rotating about its axis at the rate frevsec. The least coefficient of friction necessary so that he does not fall down is

A
g(4π2f2r)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(4π2f2r)g
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(4π2f2)gr
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
g(4π2r)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A g(4π2f2r)

Normal reaction from wall = centrifugal force

N=mrω2=mr(2πf)2

Friction force, F=μN=μ(mrω2)=μmr(2πf)2 (vertically upward)

Weight of motor cycle, W=mg (vertically downward)

For non-skidding condition

FW

μmr(2πf)2mg

μg4π2f2r

Hence, coefficient of friction should be greater than g4π2f2r


flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relative
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon