IGNOU MPH 6 SOLVED ASSIGNMENT

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IGNOU MPH 6 SOLVED ASSIGNMENT

~~Rs. 90~~
Rs. 15

IGNOU MPH 6 SOLVED ASSIGNMENT

~~Rs. 90~~
Rs. 15

Last Date of Submission of IGNOU MPH-06 (MSCPH) 2026 Assignment is for January 2026 Session: 30th September, 2026 (for December 2026 Term End Exam).
Semester Wise
January 2026 Session: 30th March, 2026 (for June 2026 Term End Exam).
July 2026 Session: 30th September, 2026 (for December 2026 Term End Exam).

Title Name	IGNOU MPH 6 SOLVED ASSIGNMENT
Type	Soft Copy (E-Assignment) .pdf
University	IGNOU
Degree	MASTER DEGREE PROGRAMMES
Course Code	MSCPH
Course Name	Master of Science (Physics)
Subject Code	MPH 6
Subject Name	Classical Mechanics-II
Year	2026
Session
Language	English Medium
Assignment Code	MPH-06/Assignmentt-1//2026
Product Description	Assignment of MSCPH (Master of Science (Physics)) 2026. Latest MPH 06 2026 Solved Assignment Solutions
Last Date of IGNOU Assignment Submission	Last Date of Submission of IGNOU MPH-06 (MSCPH) 2026 Assignment is for January 2026 Session: 30th September, 2026 (for December 2026 Term End Exam). Semester Wise January 2026 Session: 30th March, 2026 (for June 2026 Term End Exam). July 2026 Session: 30th September, 2026 (for December 2026 Term End Exam).

~~Rs. 90~~
Rs. 15

Questions Included in this Help Book

Ques 1.

The Lagrangian for a harmonic oscillator if given as:

$$L = \frac{1}{2}m(\dot{x}^2 + \dot{y}^2) + \frac{1}{2}m\omega^2(x^2 + y^2)$
The transformed coordinate under rotation about the Z-axis is given as:

$$x' = x \sin \theta + y \cos \theta$
Determine the corresponding y' so that the transformation leaves the Lagrangian invariant.

Ques 2.

Determine the Hamiltonian and the Hamilton's equation of motion:

Ques 3.

The Lagrangian of a bead of m moving without friction along a wire bent in the shape of a parabola in the X-Y pane with $y = x^2$ is given by:

$$L = \frac{1}{2}m(1 + 4x^2)\dot{x}^2 - mgx^2$

Ques 4.

The Lagrangian of a relativistic particle with charge e is given as:

$$L = -mc^2 \sqrt{1 - \left( \frac{v}{c} \right)^2} - e\phi + e\vec{A} \cdot \vec{v}$

Ques 5.

Write down the expression for the Routhian for a bead of mass m sliding due to gravity on an elliptical wire for which the Lagrangian is given as:

$$L = \frac{1}{2}m(a^2 \sin^2 \theta + b^2 \cos^2 \theta)\dot{\theta}^2 - mgb \sin \theta$

Hence derive the equation of motion.

Ques 6.

If $G = J_y = zp_x - xp_z$ , using Poisson bracket show that G generates a roation in X-Z plane.

Ques 7.

The transformation of a 1D harmonic oscillator is given as:

$$Q = \frac{\alpha}{q} \text{ and } P = \alpha pq^2$

Ques 8.

Determine the Hamitonian and the value of $\alpha$ so that the transformation is canonical.

Ques 9.

Obtain the generating function F₁(q, Q). Using F₁(q, Q), obtain F₂(q, P).

Ques 10.

The Hamiltonian of a system with two degrees of freedom is given as:

Ques 11.

The Hamiltonian of a system with two degrees of freedom is given as:

$$H(q_1, q_2, p_1, p_2) = \frac{p_1^2}{2} + \frac{p_2^2}{2} + \sin(q_1 + 2q_2).$

Determine the new Hamiltonian K.

Ques 12.

A simple pendulum with a bob of mass m and a string of length l₀ with Hamiltonian
$$H = \frac{p_{\theta}^2}{2ml_0} - mgl_0 \cos \theta .$

Construct Hamilton-Jacobi equation and obtain the characteristic function in integral form. Write the new coordinates P, Q.

Ques 13.

A particle of mass m moves under a potential $V(r) = -k/r, k > 0$ . The total energy of the system is
$$E = \frac{1}{2}m\dot{r}^2 + \frac{l^2}{2mr^2} - \frac{k}{r}$

where l is the angular momentum.

Ques 14.

Obtain the radial action and the angular action variables. Hence, express the total action.

Ques 15.

Determine the radial and the angular frequencies and explain their significance.

Ques 16.

Derive the expression for total energy for a heavy symmetric top.

Ques 17.

Obtain the expression for the rotational kinetic energy of a rigid body when the rotation is referred to its principal axes of inertia, for a spherical top (a uniform solid sphere).

Ques 18.

A rigid body consisting of a uniform plate with $x = y = a$ and mass M, obtain the moments of inertia (I_xx, I_yy, I_zz) and hence the principal moments of inertia.

Ques 19.

The Lagrangian for a harmonic oscillator if given as:

$$L = \frac{1}{2}m(\dot{x}^2 + \dot{y}^2) + \frac{1}{2}m\omega^2(x^2 + y^2)$
The transformed coordinate under rotation about the Z-axis is given as:

$$x' = x \sin \theta + y \cos \theta$
Determine the corresponding y' so that the transformation leaves the Lagrangian invariant.

Ques 20.

Determine the Hamiltonian and the Hamilton's equation of motion:

Ques 21.

The Lagrangian of a bead of m moving without friction along a wire bent in the shape of a parabola in the X-Y pane with $y = x^2$ is given by:

$$L = \frac{1}{2}m(1 + 4x^2)\dot{x}^2 - mgx^2$

Ques 22.

The Lagrangian of a relativistic particle with charge e is given as:

$$L = -mc^2 \sqrt{1 - \left( \frac{v}{c} \right)^2} - e\phi + e\vec{A} \cdot \vec{v}$

Ques 23.

Write down the expression for the Routhian for a bead of mass m sliding due to gravity on an elliptical wire for which the Lagrangian is given as:

$$L = \frac{1}{2}m(a^2 \sin^2 \theta + b^2 \cos^2 \theta)\dot{\theta}^2 - mgb \sin \theta$

Hence derive the equation of motion.

Ques 24.

If $G = J_y = zp_x - xp_z$ , using Poisson bracket show that G generates a roation in X-Z plane.

Ques 25.

The transformation of a 1D harmonic oscillator is given as:

$$Q = \frac{\alpha}{q} \text{ and } P = \alpha pq^2$

Ques 26.

Determine the Hamitonian and the value of $\alpha$ so that the transformation is canonical.

Ques 27.

Obtain the generating function F₁(q, Q). Using F₁(q, Q), obtain F₂(q, P).

Ques 28.

The Hamiltonian of a system with two degrees of freedom is given as:

Ques 29.

The Hamiltonian of a system with two degrees of freedom is given as:

$$H(q_1, q_2, p_1, p_2) = \frac{p_1^2}{2} + \frac{p_2^2}{2} + \sin(q_1 + 2q_2).$

Determine the new Hamiltonian K.

Ques 30.

A simple pendulum with a bob of mass m and a string of length l₀ with Hamiltonian
$$H = \frac{p_{\theta}^2}{2ml_0} - mgl_0 \cos \theta .$

Construct Hamilton-Jacobi equation and obtain the characteristic function in integral form. Write the new coordinates P, Q.

Ques 31.

A particle of mass m moves under a potential $V(r) = -k/r, k > 0$ . The total energy of the system is
$$E = \frac{1}{2}m\dot{r}^2 + \frac{l^2}{2mr^2} - \frac{k}{r}$

where l is the angular momentum.

Ques 32.

Obtain the radial action and the angular action variables. Hence, express the total action.

Ques 33.

Determine the radial and the angular frequencies and explain their significance.

Ques 34.

Derive the expression for total energy for a heavy symmetric top.

Ques 35.

Obtain the expression for the rotational kinetic energy of a rigid body when the rotation is referred to its principal axes of inertia, for a spherical top (a uniform solid sphere).

Ques 36.

A rigid body consisting of a uniform plate with $x = y = a$ and mass M, obtain the moments of inertia (I_xx, I_yy, I_zz) and hence the principal moments of inertia.

~~Rs. 90~~
Rs. 15

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If you are searching out Ignou MSCPH MPH 6 solved assignment? So this platform is the high-quality platform for Ignou MSCPH MPH 6 solved assignment. Solved Assignment Soft Copy & Hard Copy. We will try to solve all the problems related to your Assignment. All the questions were answered as per the guidelines. The goal of IGNOU Solution is democratizing higher education by taking education to the doorsteps of the learners and providing access to high quality material. Get the solved assignment for MPH 6 Classical Mechanics-II course offered by IGNOU for the year 2026.Are you a student of high IGNOU looking for high quality and accurate IGNOU MPH 6 Solved Assignment 2026 English Medium?

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Course Name	Master of Science (Physics)
Course Code	MSCPH
Programm	MASTER DEGREE PROGRAMMES Courses
Language	English

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IGNOU MPH 6 SOLVED ASSIGNMENT

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