Home
Class 12
PHYSICS
A cyclist rides along the circumference ...

A cyclist rides along the circumference of a circular horizontal plane of radius `R`, with the friction coefficient `mu=mu_(0)(1-(r )/(R ))`, where `mu_(0)` is constant and `r` is distance from centre of plane `O`. Find the radius of the circle along which the cyclist can ride with the maximum velocity, what is this valocity?

Text Solution

Verified by Experts

The correct Answer is:
`r R//3,v_(max) 1//2 sqrt(mu gR)`
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.29|20 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.30|9 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.27|20 Videos

  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise High Level Problems (HIP)|19 Videos

  • ELECTRO MAGNETIC WAVES

    RESONANCE ENGLISH|Exercise Exercise 3|27 Videos

Similar Questions

Explore conceptually related problems

Mass density of sphere of radius R is (K)/(r^(2)) . Where K is constant and r is distance from centre. A particle is moving near surface of sphere along circular path of radius R with time period T. Then

Mass density of sphere of radius R is (K)/(r^(2)) . Where K is constant and r is distance from centre. A particle is moving near surface of sphere along circular path of radius R with time period T. Then

A car is taking turn on a circular path of radius R. If the coefficient of friction between the tyres and road is mu , the maximum velocity for no slipping is

Find an equation of the circle with centre at (0,0) and radius r.

If O is the centre of a circle with radius r and AB is a chord of the circle at a distance r/2 from O, then /_BAO=

A small block starts sliding down an inclined plane subtending an angle theta with the horizontal . The coefficient of friction between the block and plane depends on the distance covered from rest along the plane as mu = mu_(0)x where mu_(0) is a constant . Find (a) the distance covered by the block down the plane till it stops sliding and (b) its maximum velocity during this journey .

A small mass slides down an inclined plane of inclination theta with the horizontal the coefficient of friction is mu = mu_(0)x , where x is the distance through which the mass slides down. Then the distance covered by the mass before it stops is

A small mass slides down an inclined plane of inclination theta with the horizontal. The co-efficient of friction is mu=mu_(0) x where x is the distance through which the mass slides down and mu_(0) a constant. Then, the distance covered by the mass before it stops is

A particle is projected along a horizontal field whose coefficient of friction varies as mu=A//r^2 , where r is the distance from the origin in meters and A is a positive constant. The initial distance of the particle is 1m from the origin and its velocity is radially outwards. The minimum initial velocity at this point so the particle never stops is

If the coefficient of friction between an insect and bowl is mu and the radius of the bowl is r, find the maximum height to which the insect can crawl in the bowl.