# Classical Mechanics-Lagrangian and Hamiltonian Formalism and Equations of Motion (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 5 - 8 of 16

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## Question number: 5

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2014

MCQ▾

### Question

The equation of motion of a system described by the time dependent Lagrangian is – (December)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 6

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2013

MCQ▾

### Question

A system is governed by Hamiltonian,

Where a and b are constant are are momenta conjugate to and respectively. For what value of and will the quantities and be conserved? (June)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 7

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2012

MCQ▾

### Question

The Hamiltonian of a simple pendulum consisting of a mass attached to a massless string of length is . If L denotes the Lagrangian, the value of is – (December)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 8

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2013

MCQ▾

### Question

A pendulum consists of a ring of mass M and radius R suspended by a massless rigid rod of length attached to its rim. When the pendulum oscillates in the plane of the ring, the time period of oscillation is (Dec. 2013)

### Choices

Choice (4) Response

a.

b.

c.

d.

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