What is motion?motion is a change in position of an object with respect to time. Motion is typically described in terms of displacement, distance (scalar), velocity, acceleration, time and speed.

Circular motion

 circular motion is a movement of an object along the circumference of a circle or

rotation along a circular path. It can be uniform, with constant angular rate of rotation

and constant speed, or non-uniform with a changing rate of rotation. The rotation around a

fixed axis of a three-dimensional body involves circular motion of its parts.

Examples of circular motion include: an artificial satellite orbiting the Earth at constant height, a

stone which is tied to a rope and is being swung in circles, a boy running in a race track.

Periodic motionmotion repeated in equal intervals of time. Periodic motion is performed, for example, by a rocking chair, a bouncing ball, a vibrating tuning fork, a swing in motion, the Earth in its orbit

around the Sun, and a water wave. the number of periods per unit time is called the frequency. Thus, the period of the Earth’s orbit is one year, and its frequency is one orbit per year. A tuning fork might have a frequency of 1,000 cycles per second and a period of 1 millisecond.

ROLLING MOTION

Rolling is a type of motion that combines rotation (commonly, of an axially symmetric object)

and translation of that object with respect to a surface (either one or the other moves), such that, if

ideal conditions exist, the two are in contact with each other without sliding.

No sliding takes place if and only if the instantaneous velocity of the rolling object in the point(s) in

which it contacts the surface is the same as that of the surface; this is referred to as pure rolling. In

particular, for a reference plane in which the rolling surface is at rest, the instantaneous velocity of

the point of contact of the rolling object is zero.

translational motion

Translational motion is the motion by which a body shifts from one point in space to

another.

Rectlinear motion

Rectilinear motion  is a motion along a straight line, and can therefore be described mathematically

using only one spatial dimension. 

rectiLinear motion is the most basic of all motion. According to Newton's first law of motion, objects

that do not experience any net force will continue to move in a straight line with a constant velocity

until they are subjected to a net force. Under everyday circumstances, external forces such as

gravity and friction

Curvilinear motion

The motion of an object moving in a curved path is called curvilinear motion.

Example:A stone thrown into the air at an angle. Curvilinear motion describes

the motion of a moving particle that conforms to a known or fixed curve. The study of

such motion involves the use of two such co-ordinate systems with the first being planar motion and

the latter being cylindrical motion.

Vibratory motion

Vibration is a mechanical phenomenon whereby oscillations occur about an equilibrium point. The

oscillations may be periodic such as the motion of a pendulum or random such as the movement of

a tire on a gravel road.

A simple pendulum consists of a relatively massive object hung by a string from a fixed

support. It typically hangs vertically in its equilibrium position. When the mass is

displaced from equilibrium, it begins its back and forth vibration about its fixed

equilibrium position.