At what speed should a car enter a curve in order not to slip if the radius is 30 m and the coefficient of friction is 0.3? A mass of 2 kg sits on the edge of a rotating table at a distance of 3 m. The coefficient of friction is 0.15. What is the maximum speed the table can spin and the mass not slip off?

A road has a round hill 12.0 m in radius. What is the maximum speed at which a car can have and just stay on the road?

A mass of 0.12 kg is swinging in a circle with a radius of 2m. The mass travels around once every 1.5 s.
What is the tangential speed of the mass?
What is the centripetal acceleration?

A 40 kg child takes a ride on a Ferris wheel with a diameter of 18 m, and a rotational rate of 2 revolutions per minute.
What is the period of the motion of the Ferris wheel?
What is the tangential speed of the wheel?
What is the normal force on the child at the top of the wheel?
What is the normal force on the child at the bottom of the wheel?