# Classical Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 25 - 29 of 84

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## Question number: 25

» Classical Mechanics » Relativistic Kinematics

Appeared in Year: 2012

MCQ▾

### Question

A rod of proper length oriented parallel to the X- axis moves with speed along the Y – axis in the S – frame, where C is the speed of light in free space. The observer is also moving along the X – axis with speed with respect to the S – frame. The length of the rod as measured by the observer is

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## Passage

A particle of mass slides under the gravity without friction along the parabolic path , as shown in the figure. Here, is a constant.

## Question number: 26 (1 of 2 Based on Passage) Show Passage

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

Appeared in Year: 2012

MCQ▾

### Question

The Lagrange’s equation of motion of the particle is –

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Choice (4) Response

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## Question number: 27 (2 of 2 Based on Passage) Show Passage

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

Appeared in Year: 2012

MCQ▾

### Question

The Lagrangian for this particle is given by –

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## Question number: 28

» Classical Mechanics » Moment of Inertia Tensor

Appeared in Year: 2011

MCQ▾

### Question

A heavy symmetrical top is rotating about its own axis of symmetry (the axis). If and are the principal moments of inertia along and axes respectively, then –

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## Question number: 29

» Classical Mechanics » Collisions and Scattering Problems

Appeared in Year: 2011

MCQ▾

### Question

Two particles, each of rest mass collide head – on and stick together. Before collision, the speed of each mass was times the speed of light in free space. The mass of the final entity is

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Choice (4) Response

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