# Classical Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 8 - 11 of 79

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## Question number: 8

» Classical Mechanics » Kepler Problem and Planetary Motion

Appeared in Year: 2014

MCQ▾

### Question

A planet of mass moves in a circular orbit of radius in the gravitational potential , where is a positive constant. The orbital angular momentum of the planet is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 9

» Classical Mechanics » Mechanics of System of Particles

Appeared in Year: 2015

### Write in Short

A particle of mass falls freely in the earth’s gravitational field with an initial

velocity . If air exerts a friction force of form, , then for , the velocity at time is ________ (up to two decimal places). (Use and )

## Question number: 10

» Classical Mechanics » Small Oscillations and Normal Modes

Appeared in Year: 2016

### Write in Short

Two blocks are connected by a spring of spring constant . One block has mass and the other block has mass . If the ratio , the angular frequency of vibration of the two block spring system in is . (Give your answer up to two decimal places)

## Question number: 11

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

Appeared in Year: 2015

MCQ▾

### Question

The Lagrangian for a particle of mass m at a position moving with a velocity is given by , where is a potential and C is a constant. If is the canonical momentum, then its Hamiltonian is given by,

### Choices

Choice (4) Response

a.

b.

c.

d.

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