### Equation of Motion and Small Oscillations by Atul Gaurav

### Equations of Motion And Small Oscillations

The equations of motion describe the relationship between an object’s position, velocity, and acceleration over time. These equations are fundamental to classical mechanics and are essential for solving various problems in physics. Small oscillations refer to the repetitive back-and-forth motion of a system about its equilibrium position. When the displacement of the system from equilibrium is small, the restoring force is approximately proportional to the displacement, leading to simple harmonic motion.

Course Overview CSIR NET Physical Science Correspondence Course proceeds from an explanation of theory to problem solving, helping you build a strong, Course Overview IIT-JAM Physics Correspondence Course proceeds from an explanation of theory to problem solving, helping you build a strong knowledge

### Equations of Motion

The equations of motion describe the relationship between an object’s position, velocity, and acceleration over time. These equations are fundamental to classical mechanics and are essential for solving various problems in physics.

#### Equations of Motion for Uniformly Accelerated Motion

In one-dimensional motion with constant acceleration, the following equations relate displacement, velocity, acceleration, and time.

### Small Oscillations

Small oscillations refer to the repetitive back-and-forth motion of a system about its equilibrium position. When the displacement of the system from equilibrium is small, the restoring force is approximately proportional to the displacement, leading to simple harmonic motion.

By understanding the equations of motion and the principles of small oscillations, students can analyze a wide range of physical systems and predict their behavior under various conditions. These concepts are fundamental to classical mechanics and are crucial for success in the CSIR NET/JRF Physics exam.