What Sections of Goldstein's Textbook Should I Study for GATE Physics?

[Amar.alchemy]

Hi Guys,

I have completed my BE in E&C however now i am preparing for GATE Physics 2010.
I have completed the basic Classical Mechanics along with all the exercise problems from the textbook "University Physics" by Young and Freedman.
As you all know the actual GATE syllabus starts from the advanced Classical Mechanics part. For this I am referring "Classical mechanics" by Goldstein. The problem is I am little bit confused about which all topics i should refer in Goldstien's textbook.
Like, as per the GATE Syllabus(red colour) it is given as:

central forces, Kepler problem and planetary motion; collisions and scattering in laboratory and centre of mass frames -- For this should I read complete chapter 3 of Goldstien's textbook or only the sections which refer to above topics??

mechanics of system of particles ---- For this should i read complete chapter 1 of Goldstien's textbook??

rigid body dynamics ---- ??

moment of inertia tensor ----??

noninertial frames and pseudo forces ---??

variational principle ---- ??

Lagrange's and Hamilton's formalisms ----??

equation of motion, cyclic coordinates, Poisson bracket ----??

periodic motion, small oscillations, normal modes ----??

special theory of relativity - Lorentz transformations, relativistic kinematics, mass-energy equivalence ----??

Kindly provide the section number frm Goldstein textbook for the above topics.
Thanks in advance

 

[R.Mesri]

.Central forces, Kepler problem and planetary motion: Chapter 3, Sections 3.1-3.4Mechanics of system of particles: Chapter 1, Sections 1.1-1.4Rigid body dynamics: Chapter 6, Sections 6.1-6.5Moment of inertia tensor: Chapter 6, Section 6.6Noninertial frames and pseudo forces: Chapter 7, Sections 7.1-7.2Variational principle: Chapter 2, Sections 2.1-2.2Lagrange's and Hamilton's formalisms: Chapter 9, Sections 9.1-9.4Equation of motion, cyclic coordinates, Poisson bracket: Chapter 8, Sections 8.1-8.3Periodic motion, small oscillations, normal modes: Chapter 4, Sections 4.1-4.3Special theory of relativity - Lorentz transformations, relativistic kinematics, mass-energy equivalence: Chapter 10, Sections 10.1-10.3

 

[Mene]

Hi there,

First of all, congratulations on completing your BE in E&C and taking the initiative to prepare for the GATE Physics exam. It's great to see your dedication and determination to succeed in this field.

To answer your question, I would suggest you refer to the specific sections in Goldstein's textbook that cover the topics mentioned in the GATE syllabus. For example, for central forces and the Kepler problem, you can refer to Chapter 3, Sections 3.1-3.3. For collisions and scattering, you can refer to Chapter 3, Sections 3.4-3.5.

Similarly, for mechanics of a system of particles, you can refer to Chapter 1, Sections 1.1-1.4. For rigid body dynamics, you can refer to Chapter 4. For moment of inertia tensor, you can refer to Chapter 4, Section 4.1. For noninertial frames and pseudo forces, you can refer to Chapter 5, Sections 5.1-5.3.

For variational principle, you can refer to Chapter 7, Sections 7.1-7.4. For Lagrange's and Hamilton's formalisms, you can refer to Chapter 8. For equation of motion, cyclic coordinates, and Poisson bracket, you can refer to Chapter 8, Sections 8.1-8.4. For periodic motion, small oscillations, and normal modes, you can refer to Chapter 9, Sections 9.1-9.3.

And finally, for special theory of relativity, you can refer to Chapter 12, Sections 12.1-12.3. I hope this helps you in your preparation for the GATE exam. Best of luck!