Classical Mechanics (GATE Physics): Questions 21 - 23 of 38

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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 m , and angular momentum L in plan polar coordinates in given by,

1r=mL2(1+εcosθ)

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

Choices

Choice (4) Response

a.

0<ε<1

b.

ε>1

c.

ε=0

d.

ε=1

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

L=12ml2[θ˙+sin2θφ˙]mglcosθ , where m,landg are constants.

Which of the following is conserved?

Choices

Choice (4) Response

a.

φ˙sin2θ

b.

φ˙sin2θ

c.

φ˙sinθ

d.

φ˙sinθ

Question number: 23

» Classical Mechanics » Moment of Inertia Tensor

Appeared in Year: 2012

MCQ▾

Question

Two uniform thin rods of equal length L and masses M1 and M2 are joined together along the length. The moment of inertia of the combined rod of length 2L about an axis passing through the mid – point and perpendicular to the length of the rod is –

Choices

Choice (4) Response

a.

(M1+M2)L23

b.

(M1+M2)L212

c.

(M1+M2)L22

d.

(M1+M2)L26

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