A cylinder having radius 0.4 m initially rotating (at `r=0`) with `omega_(0)=54rad//s` is placed on a rough inclinded plane with `theta=37^(@)` having friction coefficient `mu=0.5` the time taken by the cylinder to start pure rolling is `(g=10m//s^(2))`

A uniform solid sphere of mass m and radius 'R' is imparted an initial velocity v_(0) and angular omega_(0) = (2v_(0))/(R ) and then placed on a rough inclined plane of inclination 'theta' and coefficient of friction mu = 2 tan theta as shown. The time after which the sphere will start rolling without slipping is

A uniform solid sphere of mass m and radius 'R' is imparted an initial velocity v_(0) and angular omega_(0) = (2v_(0))/(R ) and then placed on a rough inclined plane of inclination 'theta' and coefficient of friction mu = 2 tan theta as shown. The time after which the sphere will start rolling without slipping is

A ring of radius R is rotating with an angular speed omega_0 about a horizontal axis. It is placed on a rough horizontal table. The coefficient of kinetic friction is mu_k . The time after it starts rolling is.

A ring of radius R is rotating with an angular speed omega_0 about a horizontal axis. It is placed on a rough horizontal table. The coefficient of kinetic friction is mu_k . The time after it starts rolling is.

A solid cylinder of mass m and radius r is rolling on a rough inclined plane of inclination theta . The coefficient of friction between the cylinder and incline is mu . Then.

A disc of mass m and radius R rotating with angular speed omega_(0) is placed on a rough surface (co-officient of friction =mu ). Then

A disc of mass m and radius R rotating with angular speed omega_(0) is placed on a rough surface (co-officient of friction =mu ). Then

A solid cylinder of mass m is wrapped with an inextensible light string and, is placed on a rough inclined plane as shown in the figure. The frictional force acting between the cylinder and the inclined plane is : [The coefficient of static friction, mu_(s)" is 0.4"]

If a solid cylinder rolls without slipping on an inclined plane of inclination '0' then the minimum coefficient of friction required to support pure rolling is