Classical Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 21 - 23 of 79

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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 Equation , and angular momentum Equation in plan polar coordinates in given by,

Equation

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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

Equation , where Equation are constants.

Which of the following is conserved?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 23

» Classical Mechanics » Moment of Inertia Tensor

Appeared in Year: 2012

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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