# DC Pandey Mechanics of Rotational Motion Solutions

DC Pandey Mechanics Part II Solutions for Chapter 9 ‘Mechanics and Rotational Motion’ will help you prepare easily for the JEE Physics portion.** **This chapter of DC Pandey Physics Mechanics and Rotational Motion deals with concepts like the moment of inertia, angular velocity, torque, rotation of a rigid body around a fixed axis and combined translational and rotational motion of a rigid body. You will also learn about angular momentum and angular impulse in the chapter.

In DC Pandey Mechanics and Rotational Motion Solutions, there are a total of 8 exercises and separate sections devoted to IIT and AIEEE (now JEE Mains) exams. The 229 questions included in this chapter have been carefully selected after analyzing the previous year exam papers and a thorough study of the question patterns. Once you engage with these questions you will be able to solve questions regarding angular fix, conservation of angular momentum, the instantaneous axis of rotation, toppling, combined translational and rotational motion of a rigid body and uniform pure rolling.

Instasolv’s solutions for DC Pandey Mechanics Part II Mechanics and Rotational Motion have been formulated after understanding your learning requirements for exams like JEE and the basic Physics syllabus of schools. We aim at helping you in developing command on the fundamentals of the chapter and polishing your concepts. With the guidance of our experts, nothing can stop you from achieving your goal and cracking all competitive exams.

## Important Topics for DC Pandey Mechanics Part II Chapter 9: Mechanics and Rotational Motion

**Moment of Inertia **

In your previous classes, you would have learnt about the term “moment of inertia”. It refers to the resistance of the body towards angular acceleration and is equal to the sum of products of the mass of each particle and the square of its distance from the axis of rotation. In the chapter of DC Pandey Mechanics II, you will get to revise this concept and utilize it in solving the numerical problems revolving around momentum and motion. Moment of inertia is also termed as the angular mass or rotational inertia.

**Torque**

This again is a topic which has been dealt with in your previous classes. However, in this chapter, you will get to explore and learn the advanced concepts of torque and its application in different situations. Torque is also termed as the moment of force. It is basically the ability that is the property of a force to rotate an object without an axis.

**Angular Acceleration **

This is a new concept you will be introduced to, in this chapter. Angular acceleration is the rate at which angular velocity undergoes change. It is denoted by the symbol α.

### Exercise-wise Discussion of DC Pandey Mechanics Part II Chapter 9: Mechanics and Rotational Motion

**Introductory Exercise 9.1**

**The exercise has a total of 10 questions related to mass distribution, the density of disk, radius and numerical problems which make use of integration.**

**Introductory Exercise 9.2**

**The exercise comprises 6 questions. These questions revolve around angular momentum, energy translation, rotational motion and friction.**

**Introductory Exercise 9.3**

**There are 5 questions in this exercise. These questions deal with the angle from the axis, velocity and distance. They are all simple formula based numerical.**

**Introductory Exercise 9.4**

**There are three questions in this exercise. These questions deal with linear acceleration, angular retardation, angular momentum and angular speed.**

**Introductory Exercise 9.5**

- The exercises have 2 questions based on the tension of the string and the relationship between mass, gravity and height.

**Introductory Exercise 9.6**

**The exercise has 3 diagram-based, simple numerical problems.**

**Introductory Exercise 9.7**

**There are 7 questions in this exercise. They deal with torque, unbalanced torque, angular momentum, the force of friction and acceleration of the point of contact.**

**Introductory Exercise 9.8**

**The exercise has 2 questions. Both these questions are based on diagrams and include the concepts of the horizontal plane, impulse and topple.**

**AIEEE Corner (now included in JEE)**

**This section is divided into two exercises –**Subjective Questions and Objective Questions.**The Subjective questions contain 41 problems which are all numerical questions based on the movement of inertia, linear mass density, angular velocity, angular impulse, the pure rolling moment of inertia and torque. All of the questions are numerical based problems.**- The objective questions contain 30 problems which revolve around the concepts of uniform angular acceleration, angular momentum, and conserved kinetic energy, the centre of mass and linear mass density.

**JEE Corner**

**The exercise has a total of 5 sections each having separate kinds of problems.****It begins w**ith Assertion and Reason, which has 11 questions. These deal with the concepts of pure rolling, rotational motion, centripetal force, linear momentum, axis movement and minimum coefficient of friction.- The second section comprises Objective Questions which have 50 problems which are all numerical based questions. These deal with concepts like a uniform square plate, a moment of inertia, rough horizontal surface and acceleration of the cylinder.
- There is another section More than One Correct Option and it has 11 problems which deal with the instantaneous axis of rotation, the moment of inertia, angular velocity, angular velocity after collision, kinetic energy and trigonometric constants of velocity.
- The second last exercise is Match the Columns and it has 7 different sets of information which tackle situation based question revolving around angular speed, direction and magnitude of frictional force.
- The last section comprises Subjective Questions
- with 37 problems under it. These include reasoning questions and primarily contain numerical which deal with string tension, uniform cylinder, mass, horizontal axis, linear acceleration, angular acceleration, velocity and magnitude.

## Why Use DC Pandey Mechanics Solutions Part II Chapter 9: Mechanics and Rotational Motion By Instasolv?

**Our team of subject specialists has made sure that all the solutions to Mechanics and Rotational Physics of DC Pandey Mechanics Part 2 book are presented in a student-friendly manner and easy to understand language.****Our solutions for DC Pandey Mechanics Part II Solutions Mechanics and Rotational**Motion**have all the important study material from the chapter compiled at one place.**- We make sure that you get enough confidence to answer all sorts of questions from the chapter.
- The best thing about our DC Pandey Solutions is that it does not even cost you a penny! These solutions are free of cost and absolutely easy to access.