Derive an expression for minimum speed required by a vehicle driven in horizontal circles of a well of Death without loosing contact.

Derive an expression for minimum speed required by a vehicle driven in horizontal circles of a vertical cylindrical wall.

Derive the expression for maximum safe speed with which vehicle should move along a curved horizontal road.

Derive an expression for most safe speed of a vehicle on a curved banked road ignoring friction.

Derive an expression for most safe speed of a vehicle moving on a curved banked road ignoring friction?

Derive an expression for upper limit on the speed of a vehicle at the top of a convex bridge?

Derive an expression for the kinetic energy when a rigid body is rolling on a horizontal surface without slipping. Hence, find the kinetic energy of a solid sphere.

A motor cyclist rides in a vertical circle in a hollow sphere of 3m. Find the minimum speed required so that he does not lose contact while the sphere at the highest point.

Using the energy conservation, derive the expression for the minimum speeds at different locations along a vertical circular motion controlled by gravity. Also prove that the difference between the extreme tensions (or normal forces) depends only upon the weight of the object.

If the section of a bridge on a river is an arc of a circle of radius 88.2m, then the maximum speed with which a car can travel over the bridge without losing contact with the ground level will be