Classical Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 21 - 24 of 84

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Question number: 21

» Classical Mechanics » Mechanics of System of Particles

Appeared in Year: 2012

MCQ▾

Question

In a central force field, the trajectory of particle of mass , and angular momentum in plan polar coordinates in given by,

Where, is the eccentricity of the particle’s motion. Which one of the following choices for gives rise a parabolic trajectory?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 22

» Classical Mechanics » Lagrange's and Hamilton's Formalisms

Appeared in Year: 2016

MCQ▾

Question

The Lagrangian of a system is given by

, where are constants.

Which of the following is conserved?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 23

» Classical Mechanics » Moment of Inertia Tensor

Appeared in Year: 2012

MCQ▾

Question

Two uniform thin rods of equal length and masses and are joined together along the length. The moment of inertia of the combined rod of length about an axis passing through the mid – point and perpendicular to the length of the rod is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 24

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2012

MCQ▾

Question

A particle of unit mass moves along the X – axis under the influence of a potential, . The particle is found to be in stable equilibrium at the point . The time period of oscillation of the particle is –

Choices

Choice (4) Response

a.

b.

c.

d.

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