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मेकेनिक्स एण्ड वेव मोशन

डॉ. विनोद गोयल

प्रकाशक : एस जे पब्लिशर्स प्रकाशित वर्ष : 2019
पृष्ठ :412
मुखपृष्ठ : पेपरबैक
पुस्तक क्रमांक : 2466
आईएसबीएन :0

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उत्तर प्रदेश के विभिन्न विश्वविद्यालयों के गणित बी.एस-सी. प्रथम वर्ष के प्रथम प्रश्नपत्र हेतु स्वीकृत एकीकृत पाठ्यक्रम पर आधारित अंग्रेजी भाषा में

CONTENTS

Unit-I

1. Newtonian Mechanics ...1-20

1.1 Inertial Reference Frame

1.2 Non-Inertial Frames and Fictitious Forces

1.3 Dynamics of Particle in Rectilinear Motion

1.4 Newton's Laws of Motion

1.5 Dynamics of Particle in Circular Motion

1.6 Dynamics of Non-Uniform Circular Motion

·         Numerical Problems

·         Very Short Answer Type Questions

·         Objective Questions

·         Important Questions For Practice

2. Conservative and Non-Conservative Forces; Conservation of Energy ...21-42

2.1. Conservative and Non-conservative Forces

2.2. Central Force is Conservative

2.3. Conservation of Energy

Numerical Problems

Objective Questions

Very Short Answer Type Questions

Important Questions For Practice

3. Conservation of Linear and Angular Momentum

3.1 Centre of Mass

3.2 Motion of the Centre of Mass

3.3 Linear Momentum

3.4 Conservation of Linear Momentum

3.5 Angular Momentum
Numerical Problems

Very Short Answered Type Questions

Objective Questions

Important Questions For Practice

4. Elastic and Inelastic Collisions : Collisions in One and Two Dimensions ...43-67

4.1 Impulse and Momentum

4.2 Elastic and Inelastic Collisions (Collision in One Dimension)

4.3 Elastic Collision in Two Dimensions

·         Numerical Problems

·         Very Short Answer Type Questions

·         Objective Questions

·         Important Questions For Practice

·         Hot Questions of Unit-I

 

Unit-II

5. Rotational Kinematics (Torque and Angular Moinentum) ...80-100

5.1. Translational and Rotational Motion

5.2. Equations of Rotational Motion

5.3. Torque and Angular Momentum

·         Numerical Problems

·         Very Short Answer Type Questions

·         Objective Questions

·         Important Questions For Practice

6. Rotational Dynamics : Moment of Inertia ...101-140

6.1 Moment of Inertia

6.2 Rotational Energy

6.3 Equation of Motion of a Rotating Body

6.4 Theorems of Parallel and Perpendicular Axes

6.5 Rotational Inertia For Simple Bodies :

·         Thin Uniform Rod

·         Rectangular Lamina

·         Solid Uniform Bar

·         Thin Hoop (or Ring)

·         Thin Circular Disc

·         Annular Cylinder (or Disc)

·         Solid Cylinder

·         Thin Spherical Shell

·         Thick Shell (Hollow Sphere)

·         Solid Sphere

6.6 Combined Translational and Rotational Motion

6.7. Body Rolling Down an Inclined Plane

6.8. Fly-Whell and its M.I.

·         Numerical Problems

·         Very Short Answer Type Questions

·         Objective Questions

·         Important Questions For Practice

7. The Top : Conservation of Angular Momentum ...150-181

7.1. Precession of a Top

7.2. Conservation of Angular Momentum

·         Numerical Problems

·         Short Answer Type Questions

·         Objective Questions

·         Important Questions For Practice

8. Elasticity ...182-207

8.1. Various Terms of Elasticity

8.2. Relations Between Elastic Constants

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