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# DC Pandey Simple Harmonic Motion Solutions

DC Pandey Mechanics Part II Solutions for Chapter 11 ‘Simple Harmonic Motion’ are prepared by Physics experts for your complete JEE Physics preparations along with Class 11 and Class 12. These DC Pandey solutions put forth all the important concepts that are required to understand the causes of oscillation, kinematics of SHM (Simple Harmonic Motion), basic differential equations of SHM and force and energy in SHM. The chapter has elaborate explanations and examples with the help of diagrams to enhance the understanding of the chapter. You will also learn about the concepts of uniform circular motion and Basic Differential Equation of SHM.

DC Pandey Mechanics 5 exercises and two separate sections devoted to JEE and AIEEE (now JEE Mains) exams. The questions included in this chapter have been carefully selected after analyzing the latest exam papers for Class 11 and Class 12 and ensure a good foundation for competitive exams like JEE. Once you engage with these exercise questions you will be able to deal with problems related to amplitude, displacement of kinetic and potential energy, harmonic motion and frequency.

Instasolv’s solutions for DC Pandey Mechanics Part II Simple Harmonic Motion have been formulated to polish your concepts from the chapter and help you develop a firm command on them. Our subject experts have ensured that all your requirements for a fruitful and stress-free learning experience are met. With the guidance of our team, you will surely come out with flying colours in your school as well as the competitive exams.

## Important Topics for DC Pandey Mechanics Part II Solutions Chapter 11: Simple Harmonic Motion

Simple Harmonic Motion

In this chapter of DC Pandey Mechanics Part II Solutions, you will be introduced to the concept of Simple Harmonic Motion also expressed as SHM. Any motion in which the restoring force is directly proportional to the displacement of the body from its mean position is referred to as Simple Harmonic Motion. This restoring force always has its direction towards its mean position.

You will learn about the acceleration of a particle executing simple harmonics motion and its algebraic representation. You will also learn about the relationship between angular velocity, acceleration and time which plays an essential role in deriving Simple Harmonic Motion of a body.

Types of Simple Harmonic Motion

You will also be introduced to the different types of Simple Harmonic Motions in this chapter. There are two major types –

• Linear Simple Harmonic motion or Linear SHM – when a particle moves to and fro such that it is about a fixed point (in equilibrium state) along a straight line, then its motion is termed as Linear Simple Harmonic Motion
• Angular Simple Harmonic motion or Angular SHM – when a particle or a system oscillates angular long such that it has a fixed axis then its motion is termed as Angular Simple Harmonic Motion.

Periodic Motion and Oscillation Motion

In this chapter, you will also learn about Periodic Motion which occurs when a motion repeats itself such that the time interval between each repetition is equal and there is no equilibrium position of the body. Oscillation motion occurs when a particle moves to and fro about a mean position. This is also a kind of periodic motion but between two extremes.

### Exercise-wise Discussions ofDC Pandey Mechanics Part II Solutions Chapter 11: Simple Harmonic Motion

Introductory Exercise 11.1

• This exercise has a total of 7 questions which are all simple formula based numerical ideal for Class 11 and Class 12 preparations.

Introductory Exercise 11.2

• This exercise comprises of 4 numerical questions based on the concepts of variation along the x and y-axis, integration of displacement and force and some true and false questions.

Introductory Exercise 11.3

• There are 4 questions in this exercise. These are application-based numerical which revolve around concepts of escape velocity, potential barrier, mechanical energy and kinetic and potential energy.

Introductory Exercise 11.4

• This exercise has just two questions. These questions deal with the planetary motion area and velocity concepts along with the basics of angular velocity and energy conservation.

Exercise 11.5

• There are 2 numerical questions in this exercise which are based on the concepts of amplitude, gravitational force, time period and displacement.

AIEEE Corner (Now a part of JEE)

• This exercise consists of two different sections – the subjective questions and the Objective questions.
• There are 21 problems in the subjective questions and they revolve around kinematics of circular motion, dynamics of circular motion, velocity, acceleration, tangential acceleration, angle of banking, angular acceleration and tension of a string.
• There are 14 problems under the objective questions and they revolve around maximum kinetic energy, momentum, centripetal acceleration, uniform speed, vertical axis and level of road curvature.

JEE Corner

• The exercise has a total of 5 sections each having different kinds of problems that will help you prepare for the JEE Physics section easily.
• It begins with Assertion and Reason, which has 10 questions. These deal with displacement from extreme location, amplitude, mean position, corresponding angles and angular frequency.
• The second section comprises of 32 Objective Questions. These deal with concepts like period, average speed, frequency of oscillation, Simple Harmonic motion on a straight line, vibration and acceleration.
• There is another section More than One Correct Option and it has 5 problems which deal with string tension, horizontal acceleration, time period and speed.
• The second last exercise is Match the columns and it has 5 different sets of information which tackle x-t equations of simple harmonic motion, the amplitude of oscillations, acceleration time graph, displacement time equation and x-t equation.
• The last section comprises a Subjective question with 15 problems under it. These utilise concepts like time period, amplitude, oscillation, equilibrium, force constant and subsequent motion.

## Why Use DC Pandey Mechanics Part II Solutions Chapter 11: Simple Harmonic Motion by instasolv?

• Our team of subject specialists has ensured that all the solutions are presented in easy language and you get enough information to revise Class 11 and Class 12 Physics concepts for Simple Harmonic Motion.
• Our solutions for DC Pandey Mechanics Part II Simple Harmonics Motion have all the important study material from the chapter compiled at one place for JEE and NEET like competitive exams.
• We make sure that you get enough confidence to answer any kind of question which can be framed from the chapter.
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