Classical Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 4 of 69

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Question number: 1

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

Appeared in Year: 2013

MCQ▾

Question

The Hamiltonian of a relativistic particle of rest mass m and momentum p is given by Equation , in units in which the speed of light Equation . The corresponding Lagrangian is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

» Classical Mechanics » Rigid Body Dynamics - Moment of Inertia Tensor

Appeared in Year: 2013

MCQ▾

Question

A uniform cylinder of radius r and length Equation and a uniform sphere of radius R are released on an inclined plane when their centers of mass are at same height. If they roll down without slipping and if the sphere reaches the bottom of plane with a speed V, then the speed of the cylinder when it reaches the bottom is: (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

» Classical Mechanics » Poisson Brackets

Appeared in Year: 2013

MCQ▾

Question

Let A, B and C be function of phase space variables (coordinates and momenta of a mechanical system). If {, } represents the Poisson bracket, the value of Equation is given by – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

0

Question number: 4

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

Appeared in Year: 2013

MCQ▾

Question

The Lagrangian of a particle of mass m moving in one dimension is given by,

Equation

Where, b is a positive constant. The coordinate of the particle Equation at time t is given by: (in the following Equation and Equation are constants) (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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