# DC Pandey Circular Motion Solutions

DC Pandey Mechanics Part 1 Solutions for Chapter 7 ‘Circular Motion’ has all the important concepts related to circular motion that will help you in JEE Physics preparation easily. In this chapter of DC Pandey Solutions, you will encounter concepts like motion in vertical circles, looping of a loop, conical pendulum, uniform motion in equilibrium and centrifugal force. All the fundamentals related to these concepts have been explained in a very detailed manner along with diagrams, mathematical notations, formulas, derivations and examples.

The chapter has 3 introductory exercises and 2 separate corners for AIEEE (now JEE Mains) and JEE with 112 questions in total. These questions aim at ensuring that you develop a strong command on the basics from the chapter. Once you engage with our DC Pandey Physics Solutions for Circular Motion, you will be able to deal with problems related to bending roads, cyclists, death well or rotor, circular turnings, pendulums and unit vectors along the tangents.

Instasolv’s DC Pandey Mechanics Part Circular Motion Solutions covers every single aspect from the chapter and every question has been dealt with separately with vivid explanations. There are a lot of tricks which you can learn to improve your presentation in competitive exams like IIT, JEE and NEET. We, at Instasolv, encourage a prolific and engaging learning arrangement which will lessen the exam stress and amplify your confidence and level of preparation. With the supervision of our skilled team, nothing can come in your way of scoring high and achieving all your aspirations and goals.

## Important topics for DC Pandey Mechanics Part 1 Solutions Chapter 7: Circular Motion

**Dynamics of Circular Motion **

In DC Pandey Mechanics Part 1 Circular Motion Chapter, you will learn that when a particle moves with a constant speed in a circle its motion is known as uniform circular motion.

A resultant of non-zero force acts on the particle when it is in a uniform circular motion. You will get to know that the reason behind this occurrence is because the particle that moves in a circular direction is accelerated despite the speed of that particle being constant. Change in direction of the velocity vector acts as the main reason behind this occurrence. The tangential acceleration in case of a uniform circular motion can be null.

When the acceleration of the particle is towards the centre, its magnitude is expressed as v2 / r. Here v denotes the speed of the particle and r stands for the radius of the circle.

In such a case the direction of the resultant force is towards the centre and the magnitude can be expressed as F = ma. Here m stands for the mass of the particle and a stands for acceleration.

**Conical Pendulum **

In this chapter, you will also encounter the concept of a conical pendulum and its mechanism. When a small particle of, let’s say, mass ‘m’ is suspended by a string which is whirled in a horizontal circle, the entire arrangement is recognized as a conical pendulum. The vertical component of a conical pendulum is known as the vertical component of tension and it balances the weight of the particle while the horizontal component works at providing the necessary centripetal force. You will also learn about the pseudo force which is addressed as the centrifugal force and the application of Newton’s law on it.

### Exercise Discussions of DC Pandey Mechanics Part 1 Chapter 7: Circular Motion

**Introductory Exercise 7.1 **

**This exercise comprises of a total of 6 questions all based on the introductory concepts from the chapter.**

- These questions include observation-based theory answers and some simple formula based numerical questions.
- The questions revolve around concepts like velocity, constant acceleration, variable acceleration, radians, instantaneous velocity and magnitude of acceleration.

**Introductory Exercise 7.2**

**This exercise has a total of 6 questions that include numerical problems which deal with equilibrium motion, maximum speed, the tension of the string, crest and dip theory, vertical component and angles formed in a conical pendulum.**

**Introductory Exercise 7.3**

**There are only 3 questions in this exercise that revolve around lowest positions, the magnitude of change of velocity, swing angle of a particle and string and initial speed.**

**AIEEE Corner (Now JEE Mains)**

**This exercise consists of two different sections – Subjective Questions and 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 **

**This exercise has questions based on the previous year exam pattern and the probability of questions for upcoming exams in JEE Mains and Advanced.**- The exercise has a total of 5 sections each having separate kinds of problems.
- It begins with Assertion and Reason, which has 11 questions. These deal with circular variations, circular projectile, two-dimensional motion, acceleration of particles and centripetal force.
- The second section comprises of Objective Questions which have 27 problems which are all numerical based questions. These deal with concepts like horizontal plates, the equilibrium of particles, constant retardation and angular velocity.
- There is another section More than One Correct Option and it has 5 problems which deal with tangential acceleration, the velocity at different points, the height of plane of motion and rotation of angular velocity.
- The second last exercise is Match the Columns and it has 5 different sets of information which tackle centripetal force, position vectors, rotation of circles and acceleration vector.
**The last section comprises of Subjective Question with 15 problems under it. These are an amalgam of all the concepts that have been dealt with in the chapter.**

### Why use DC Pandey Solutions Mechanics Part 1 Chapter 7: Circular Motion

**At instasolv, we make sure that all the solutions are formulated in a simple language with detailed step by step explanations.**- Our solutions for DC Pandey Mechanics Part 1 Chapter 7: Circular Motion will help you in revising and preparing for your exams at one go.
- 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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