what is the difference between rotational motion and curvilinear motion
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.
Rotational Motion : If you are moving around on an axis you are said to be in a rotational motion. Therefore, rotational motion is described as one around an axis.
Rotation around a fixed axis is a special case of rotational motion. The fixed axis hypothesis excludes the possibility of an axis changing its orientation, and cannot describe such phenomena as wobbling or precession. According to Euler’s rotation theorem, simultaneous rotation along a number of stationary axes at the same time is impossible. If two rotations are forced at the same time, a new axis of rotation will appear.
This article assumes that the rotation is also stable, such that no torque is required to keep it going. The kinematics and dynamics of rotation around a fixed axis of a rigid body are mathematically much simpler than those for free rotation of a rigid body; they are entirely analogous to those of linear motion along a single fixed direction, which is not true for free rotation of a rigid body. The expressions for the kinetic energy of the object, and for the forces on the parts of the object, are also simpler for rotation around a fixed axis, than for general rotational motion. For these reasons, rotation around a fixed axis is typically taught in introductory physics courses after students have mastered linear motion; the full generality of rotational motion is not usually taught in introductory physics classes.