A cyclist rides along the circular path of a circular horizontal plane of radius R, the firctional coefficient being dependent only on distance r from the centre O of the plane as `mu = mu_(0) (1 - (r )/(R ))`, where `mu_(0)` is a constant.
Find the radius of the circle such that the cyclist can ride with the maximum velocity.

A cyclist rides along the circular path of a circular horizontal plane of radius R, the firctional coefficient being dependent only on distance r from the centre O of the plane as mu = mu_(0) (1 - (r )/(R )) , where mu_(0) is a constant. What is the cyclist's maximum velocity ?

A cyclist rides along a circular path in a horizontal plane where the coefficient of friction varies with distance from the centre O of the circular path as mu = mu_(0)(1-(r)/(R)) where R is the maximum distance up to which the road is rough Find the radius of the circular path along which the cyclist can ride with maximum velocity. What is this maximum velocity ?

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?

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?

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 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 .