**Wedge Constrained: NLM - Constrained Motion**

**Chapter Notes for Class 11 Physics (IIT-JEE and AIPMT)**

In physics, the concept of constrained motion is often encountered when studying the dynamics of various objects. One such example is the wedge constrained motion, which involves the motion of an object on an inclined plane or wedge. This concept is important to understand as it helps in analyzing the forces acting on the object and determining its subsequent motion.

**Understanding Wedge Constrained Motion**

When an object is placed on an inclined plane, it experiences a force due to gravity acting vertically downward and a normal force acting perpendicular to the plane's surface. These forces can be resolved into components parallel and perpendicular to the plane. The parallel component of the force due to gravity is responsible for the object's acceleration along the inclined plane.

In the case of a wedge constrained motion, the object is usually in contact with the inclined plane at an angle and is subjected to additional forces or constraints. These constraints may include frictional forces, external forces, or other physical limitations.

**Forces Acting on the Object**

In wedge constrained motion, the forces acting on the object can be categorized into two types: external forces and internal forces.

1. **External Forces:** These forces are exerted on the object by external sources such as a person pushing or pulling the wedge. These forces can be applied in any direction and can influence the object's motion.

2. **Internal Forces:** Internal forces are the forces that arise due to the interactions between different parts of the object itself. These forces may include frictional forces, normal forces, or any other forces that are generated within the object during its motion.

**Analysis of Wedge Constrained Motion**

To analyze the motion of an object on a wedge, we need to apply the principles of Newton's laws of motion. These laws help us understand how the forces acting on the object affect its acceleration and subsequent motion.

1. **Newton's First Law:** According to Newton's first law of motion, an object at rest will remain at rest, and an object in motion will continue to move with a constant velocity unless acted upon by an external force. This law helps us determine the initial conditions of the motion.

2. **Newton's Second Law:** Newton's second law of motion states that the acceleration of an object is directly proportional to the net external force acting on it and inversely proportional to its mass. This law allows us to calculate the object's acceleration based on the forces acting on it.

3. **Newton's Third Law:** Newton's third law of motion states that for every action, there is an equal and opposite reaction. This law helps us understand the forces exerted by the object on the wedge or any other interacting bodies.

**Conclusion**

Understanding the concept of wedge constrained motion is crucial in physics, particularly when studying the dynamics of objects on inclined planes or wedges. By analyzing the forces acting on the object and applying the principles of Newton's laws of motion, we can determine its acceleration and subsequent motion. This knowledge is essential for solving problems related to constrained motion and can be applied in various real-life situations.

Note: This document provides a detailed explanation of the concept of wedge constrained motion, including the forces acting on the object and the analysis of its motion. For further study and practice, it is recommended to refer to relevant textbooks and educational resources available on EduRev.