Motion in a Plane Class 11th Notes - Free NCERT Class 11 Physics Chapter 4 notes - Download PDF

Physical variables such as force, acceleration, and displacement are represented by both magnitude and direction, unlike temperature, work, and distance, which can only be represented by magnitude. This is the subject of Class 11 Physics chapter 4 motion in a plane. You can go to motion in a plane Class 11 notes if you're having trouble grasping particular ideas in this chapter. The Class 11 Physics chapter 4 notes can also be extremely useful in the run-up to the exams.

The definitions of velocity, acceleration, and magnitude are covered in the first section of Class 11 Physics chapter 4 notes. Study the motion in a plane Class 11 notes pdf download to learn about the key terminology and their definitions in Physics.

Students will learn about various plane motions such as circular motion, projectile motion, and so on. In Class 11 motion in a plane notes, the equations for motion in a straight line are also used in the x and y directions to figure out the equations for motion in a plane.

You will gain a comprehensive understanding of projectile motion by studying CBSE Class 11 Physics chapter 4 notes (a special type of motion in a plane). The motion in a plane Class 11 notes also includes a number of projectile motion examples.

This section of NCERT Class 11 Physics chapter 4 notes covers the differences and properties of scalar and vector quantities, as well as their definitions. In addition, NCERT notes for Class 11 Physics chapter 4 explain unit vectors, equal vectors, zero vectors, negative of a vector, parallel vectors, displacement vectors, and coplanar vectors.

In this section of notes for Class 11 Physics chapter 4, students will learn how to resolve a vector and what the resolution process entails. In the domain of physics, vectors are resolved using x, y, and z coordinates. Following that are the vector addition and subtraction techniques. In Motion in a Plane Class 11 notes, both geometrical and analytical methods are thoroughly explored, allowing you to gain a thorough understanding of the subject.

The explanation of relative motion velocity begins this portion of Chapter 4 Physics Class 11 notes. Following that, in the Motion in a Plane Class 11 notes, you'll learn about 2D relative motion velocity, which is explained with a precise and easy derivation.

The last portion of Motion in a Plane Class 11 notes focus on uniform circular motion and the variables that are used to describe it, such as angular displacement, angular acceleration, angular velocity, and centripetal acceleration. More about projectile motion is discussed later in this portion of Class 11 Physics chapter 4 notes, including 2D projectiles, important characteristics of projectile motion, and so on.

Also, students can refer,

• NCERT Solutions for Class 11 Physics Chapter 4 Motion in a Plane
• NCERT Exemplar class 11 physics chapter 4 Motion in a Plane

1. SCALARS AND VECTORS

A unique number can be used to describe some values. A single number can be used to indicate mass, time, distance, and speed, for example. Scalar quantities are what they're termed.

One piece of information is insufficient to convey how to travel to a location from another location. Both distance and displacement are required to fully express this.

Vectors are quantities that require both magnitude and direction to accurately represent a situation. Vectors include things like displacement and velocity.

The vectors are shown by an arrow over the symbols that represent them.

For example,

1. Unit vector:

Because a unit vector has a magnitude of one, it only provides the vector's direction.

By dividing the original vector by its magnitude, a unit vector can be found.

2. Addition, subtraction and scalar multiplication of vectors:

Consider two vectors as follows:

Then,

Multiplication of a vector by scalar quantity:

Magnitude and direction

3. Parallel vectors:

If and only if two vectors have the same direction, they are said to be parallel vectors. When a vector is multiplied by a scalar, the result is a vector that is parallel to the original vector.

If b=ka then b and a are parallel vectors.

4. Equality of vectors:

When the magnitudes and directions of two vectors (indicating two values of the same physical quantity) are the same, they are said to be equal.

1.5 Subtraction of vectors:

Let a^' and b^'are two vectors. We define a'-b^' as the sum of vectors a^' and (-b)^'

1.6 Dot product or scalar product of two vectors:

Dot products of a^' and b^' is given by

If θ=0

If θ=90^o

Dot product of unit vectors are given by

Similarly

Now,

Similarly

Dot products are commutative and distributive:

2. MOTION IN 2D (PLANE)

2.1 Position vector and Displacement:

The position vector of a particle P on a plane with respect to the origin of xy–coordinate system is given by

Now, if the particle moves along the path to a new position P₁ with the position vector r;

Displacement

2.2 Average velocity:

2.3 Instantaneous velocity:

2.4 Average acceleration:

2.5 Instantaneous acceleration:

3. PROJECTILE MOTION

When a particle is propelled obliquely close to the earth's surface, it moves in both horizontal and vertical directions at the same time. Projectile motion is the name given to the movement of such a particle.

Maximum Range:

Range is maximum when sin2θ is maximum

3.1 Equation of trajectory:

The path taken by the body is referred to as trajectory. To establish the trajectory, we must eliminate time and find the relationship between y and x.

4. RELATIVE MOTION

Case I: If you see a car going on a straight road, you say the automobile's velocity is 20 mph, which implies the car's velocity relative to you is 20 mph, or the car's velocity relative to the ground is 20 mph (as you stand on the ground).

Case II: If you look inside this car, you'll notice that it's at a standstill while the road is moving backwards. Then you'd say the car's velocity in relation to the car is 0m/s.

Mathematically, velocity of B relative to A is represented as

5. RIVERBOAT PROBLEMS

We come across the following three terms when dealing with riverboat issues:

v_r^'= the river's absolute velocity

v_br^'= a boatman's velocity in relation to the river, or a boatman's velocity in still water

v_b^'=boatman’s absolute velocity

Significance of NCERT Class 11 Physics Chapter 4 Notes

Motion in a plane Class 11 notes would be beneficial to revise the chapter and to acquire an understanding about the major issues presented in the chapter. This NCERT Class 11 Physics chapter 4 notes are also beneficial for competitive exams such as VITEEE, BITSAT, JEE Main, NEET, and others, as they cover the main themes of the CBSE Physics Syllabus. You can use the Class 11 Physics chapter 4 notes pdf download to study offline.

NCERT Class 12 Notes Chapter-Wise

Subject Wise NCERT Exemplar Solutions

• NCERT Exemplar Class 11 Solutions
• NCERT Exemplar Class 11 Maths
• NCERT Exemplar Class 11 Physics
• NCERT Exemplar Class 11 Chemistry
• NCERT Exemplar Class 11 Biology

Subject Wise NCERT Solutions

• NCERT Solutions for Class 11 Mathematics
• NCERT Solutions for Class 11 Chemistry
• NCERT Solutions for Class 11 Physics

• NCERT Solutions for Class 11 Biology